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A stochastic mode reduction strategy is applied to multiscale models with a deterministic energy-conserving fast sub-system. Specically, we consider situations where the slow variables are driven stochastically and interact with the fast sub-system in an energy-conserving fashion. Since the stochastic terms only affect the slow variables, the fast-subsystem evolves deter- ministically on a sphere of constant energy. However, in the full model the radius of the sphere slowly changes due to the coupling between the slow and fast dynamics. Therefore, the energy of the fast sub-system becomes an additional hidden slow variable that must be accounted for in order to apply the stochastic mode reduction technique to systems of this type.
The linear Poisson-Boltzmann equation (LPBE) is one well-known implicit solvent continuum model for computing the electrostatic potential of biomolecules in ionic solvent. To overcome its singular difficulty caused by Dirac delta distributions of point charges and to further improve its solution accuracy, we developed a new scheme for solving the current LPBE model, a new LPBE model, and a new LPBE finite element program package based on our previously proposed PBE solution decomposition. Numerical tests on biomolecules and a nonlinear Born ball model with an analytical solution validate the new LPBE solution decomposition schemes, demonstrate the effectiveness and efficiency of the new program package, and confirm that the new LPBE model can signicantly improve the solution accuracy of the current LPBE model.
This paper is concerned with the viscous polytropic uids in the two-dimensional (2D) space with vacuum as far field density. By means of weighted initial density, we obtain the local existence of classical solution to the Cauchy problem, in the case that the initial data satisfy a natural compatibility condition and the heat conduction coefficient is zero. Remember the blowup result of Xin [Z. Xin, Comm Pure Appl Math 51, 229-240, 1998], one should not expect the global smooth solution because the compactly supported initial density is included in our case.
We present an algorithm which computes the value function and optimal paths for a two-player static game, where the goal of one player is to maintain visibility of an adversarial player for as long as p ossible, and that of the adversarial player is to minimize this time. In a static game both players cho ose their controls at initial time and run in open-loop for t>0 until the end-game condition is met. Closed-loop (feedback strategy) games typically require solving PDEs in high dimensions and thus pose unsurmountable computational challenges. We demonstrate that, at the expense of a simpler information pattern that is more conservative towards one player, more memory and computationally efficient static games can be solved iteratively in the state space by the proposed PDE-based technique. In addition, we describe how this algorithm can be easily generalized to games with multiple evaders. Applications to target tracking and an extension to a feedback control game are also presented.
We study the Strang splitting scheme for quasilinear Schrodinger equations. We establish the convergence of the scheme for solutions with small initial data. We analyze the linear instability of the numerical scheme, which explains the numerical blow-up of large data solutions and connects to analytical breakdown of regularity of solutions to quasilinear Schrodinger equations. Numerical tests are performed for a modified version of the superfluid thin film equation.
We show that a smooth compactly supported solution to the relativistic Vlasov-Maxwell system exists as long as the L^6 norm of the macroscopic density of particles remains bounded.
We investigate a nonlocal wave equation with damping term and singular nonlinearity, which models an electrostatic micro-electro-mechanical system (MEMS) device. In the case of the relative strength parameter \lambda being small, the existence and uniqueness of the global solution are established. Moreover,the asymptotic result that the solution exponentially converges to the steady state solution is also proved. For large \lambda, quenching results of the solution are obtained.
We present a nonlinear predator-prey system consisting of a nonlocal conservation law for predators coupled with a parabolic equation for preys. The drift term in the predators' equation is a nonlocal function of the prey density, so that the movement of predators can be directed towards region with high prey density. Moreover, Lotka-Volterra type right hand sides describe the feeding. A theorem ensuring existence, uniqueness, continuous dependence of weak solutions and various stability estimates is proved, in any space dimension. Numerical integrations show a few qualitative features of the solutions.
We prove the existence and uniqueness of global strong solutions to the one dimensional, compressible Navier-Stokes system for the viscous and heat conducting ideal polytropic gas flow, when heat conductivity depends on temperature in power law of Chapman-Enskog. The results reported in this article is valid for initial boundary value problem with non-slip and heat insulated boundary along with smooth initial data with positive temperature and density without smallness assumption.
We prove the existence of piecewise polynomials strictly convex smooth functions which converge uniformly on compact subsets to the Aleksandrov solution of the Monge-Ampe quation. We extend the Aleksandrov theory to right hand side only locally integrable and on convex bounded domains not necessarily strictly convex. The result suggests that for the numerical resolution of the equation, it is enough to assume that the solution is convex and piecewise smooth.
In [C. De Lellis and L. Szekelyhidi, Ann. of Math. 170, 1417-1436m 2009] C. De Lellis and L. Szekelyhidi Jr. constructed wild solutions of the incompressible Euler equations using a reformulation of the Euler equations as a differential inclusion together with convex integration. In this article we adapt their construction to the system consisting of adding the transport of a passive scalar to the two-dimensional incompressible Euler equations.
We consider the large time behavior of solutions to defocusing nonlinear Schrodinger equation in the presence of a time dependent external potential. The main assumption on the potential is that it grows at most quadratically in space, uniformly with respect to the time variable. We show a general exponential control of first order derivatives and momenta, which yields a double exponential bound for higher Sobolev norms and momenta. On the other hand, we show that if the potential is an isotropic harmonic potential with a time dependent frequency which decays sufficiently fast, then Sobolev norms are bounded, and momenta grow at most polynomially in time, because the potential becomes negligible for large time: there is scattering, even though the potential is unbounded in space for fixed time.
We obtain new regularity criteria and smallness condition for the global regularity of the N-dimensional supercritical porous media equation. In particular, it is shown that in order to obtain global regularity result, one only needs to bound a partial derivative in one direction or the pressure scalar eld. Our smallness condition is also in terms of one direction, dropping conditions on (N-1) other directions completely, or the pressure scalar eld. The proof relies on key observations concerning the incompressibility of the velocity vector eld and the special identity derived from Darcy's law.
The vanishing viscosity limit of the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity c(\rho)=\epsilon \rho^\alpha (\alpha >0) is considered in the present paper. It is proved that given a rarefaction wave with one-side vacuum state to the compressible Euler equations, we can construct a sequence of solutions to the compressible Navier-Stokes equations which converge to the above rarefaction wave with vacuum as the viscosity tends to zero. Moreover, the convergence rate depending on \alpha is obtained for all \alpha >0. The main difficulty in our proof lies in the degeneracies of the density and the density-dependent viscosity at the vacuum region in the vanishing viscosity limit.
We consider the problem of marketing a new product in a population modelled as a random graph, in which each individual (node) has a random number of connections to other individuals. Marketing can occur via word of mouth along edges, or via advertising. Our main result is adaptation of the Miller model, describing the spread of an infectious disease, to this setting, leading to a generalized Bass marketing model. The Miller model can be directly applied to word- of-mouth marketing. The main challenge lies in revising the Miller model to incorporate advertisement, which we solve by introducing a marketing node that is connected to every individual in the popula- tion. We tested this model for Poisson and scale free random networks, and found excellent agreement with microscopic simulations. In the homogeneous limit where the number of individuals goes to \infty and the network is completely connected our model becomes the classical Bass model. We further present the generalization of this model to two competing products. For a completely connected network this model is again consistent with the known continuum limit. Numerical simulations show excellent agreement with microscopic simulations ob- tained via an adaptation of the Gillespie algorithm. Our model shows that, if the two products have the same word-of-mouth marketing rate on the network, then the ratio of their market shares is exactly the ratio of their advertisement rates.
We address the question of how a neuron integrates excitatory (E) and inhibitory (I ) synaptic inputsolutions. Using these asymptotic solutions, in the presence of E and I inputs, we can successfully reveal the underlying mechanisms of a dendritic integration rule, which was discovered in a recent experiment. Our analysis can be extended to the multi-branch case to characterize the E-I dendritic integration on any branches. The novel characterization is confirmed by the numerical simulation of a biologically realistic neuron.
This paper is concerned with problems of scattering of time-harmonic electromagnetic and acoustic waves from an infinite penetrable medium with a finite height modeled by the Helmholtz equation. On the lower boundary of the rough layer the Neumann or generalized impedance boundary condition is imposed. The scattered field in the unbounded homogeneous medium is required to satisfy the upward angular-spectrum representation. Using the variational approach, we prove uniqueness and existence of solutions in the standard space of finite energy for inhomogeneous source terms, and in appropriate weighted Sobolev spaces for incident point source waves in R^m (m=2,3) and incident plane waves in R^2. To avoid guided waves, we assume that the penetrable medium satisfies certain non-trapping and geometric conditions.
Asymptotic behaviors of stochastic long-short equations driven by random force, which is smooth enough in space and white noise in time, are mainly considered. The existence and uniqueness of solutions for stochastic long-short equations are obtained via Galerkin approximation by the stopping time and Borel-Cantelli Lemma on the basis of a priori estimates in the sense of expectation. A global random attractor and the existence of a stationary measure are investigated by Birkhoff ergodic theorem and Chebyshev inequality.
We aim to present a relaxation model that can be used in real simulations of dilute multicomponent reacting gases. The kinetic framework is the semi-classical approach with only one variable for the internal energy modes. The relaxation times for the internal energy modes are assumed to be smaller than the chemistry characteristic times. The strategy is the same as in [S. Brull, J. Schneider, Comm. Math. Sci. to appear]. That is a sum of operators for respectively the mechanical and chemical processes. The mechanical operator(s) is the "natural" extension to polyatomic gases of the method of moment relaxations presented in [S. Brull, J. Schneider, Cont. Mech. Thermodyn. 20, 63-74, 2008] and [S. Brull, V. Pavan and J. Schnieder, Eur. J. Mech. (B-Fluids) 33, 74-86, 2012]. The derivation of the chemical model lies on the chemical processes at thermal equilibria. It is shown that this BGK approach features the same properties as the Boltzmann equation: conservations and entropy production. Moreover null entropy production states are characterized by vanishing chemical production rates. We also study the hydrodynamic limit in the slow chemistry regime. Finally we show that the whole set of parameters that are used in the derivation of the model can be calculated by softwares such as EGlib or STANJAN.
In this note we examine the dynamical role played by inertial forces on the sur face temperature (or buoyancy) variance in strongly rotating, stratified flows with uniform potential vorticity fields and fractional dissipation. In particu lar, using a dynamic, multi-scale averaging process, we identify a sufficient c ondition for the existence of a direct temperature variance cascade across an i nertial range. While the result is consistent with the physical and numerical t heories of SQG turbulence, the condition triggering the cascade is more exotic, a fact reflecting the non-locality introduced by fractional dissipation. A comment regarding the scale-locality of the temperature variance flux is also included.
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail in this context and in particular BV estimates. They are the most standard and simplest way to prove compactness and convergence. We provide a novel and simple method to obtain partial BV regularity and strong compactness in this framework. The standard notion of entropy is not convenient either and we also indicate another, but closely related, notion. We give two examples motivated by renal flows which consist of 2 by 2 and 3 by 3 relaxation systems with 2-velocities but the method is more general.
Epitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model with quadratic pairwise atomic interaction energy. By employing the notion of Gamma-convergence and a geometric rigidity estimate, we perform a discrete to continuum limit and a dimension reduction to a one-dimensional system. Moreover, we compare a defect-free model and models with dislocations at the interface and show that the latter are energetically convenient if the thickness of the wire is sufficiently large.
We investigate the time evolution of spin densities in a two-dimensional electron gas subjected to Rashba spin-orbit coupling on the basis of the quantum drift-diffusive model derived in [L. barletti and F. Mehats, J. Math. Phys. 51, 053304, 2010]. This model assumes the electrons to be in a quantum equilibrium state in the form of a Maxwellian operator. The resulting quantum drift-diffusion equations for spin-up and spin-down densities are coupled in a non-local manner via two spin chemical potentials (Lagrange multipliers) and via off-diagonal elements of the equilibrium spin density and spin current matrices, respectively. We present two space-time discretizations of the model, one semi-implicit and one explicit, which comprise also the Poisson equation in order to account for electron-electron interactions. In a first step pure time discretization is applied in order to prove the well-posedness of the two schemes, both of which are based on a functional formalism to treat the non-local relations between spin densities. We then use the fully space-time discrete schemes to simulate the time evolution of a Rashba electron gas confined in a bounded domain and subjected to spin-dependent external potentials. Finite difference approximations are first order in time and second order in space. The discrete functionals introduced are minimized with the help of a conjugate gradient-based algorithm, where the Newton method is applied in order to find the respective line minima. The numerical convergence in the long-time limit of a Gaussian initial condition towards the solution of the corresponding stationary Schr\"odinger-Poisson problem is demonstrated for different values of the parameters $\eps$ (semiclassical parameter), $\alpha$ (Rashba coupling parameter), $\Delta x$ (grid spacing) and $\Delta t$ (time step). Moreover, the performances of the semi-implicit and the explicit scheme are compared.
In this paper, we address the issue of designing a theoretically well- motivated and computationally efficient method ensuring topology preservation on image-registration-related deformation elds. The model is motivated by a mathematical characterization of topology preservation for a deformation eld mapping two subsets of Z^2, namely, positivity of the four approximations to the Jacobian determinant of the deformation on a square patch. The first step of the proposed algorithm thus consists in correcting the gradient vector field of the deformation (that does not comply with the topology preservation criteria) at the discrete level in order to fulfill this positivity condition. Once this step is achieved, it thus remains to reconstruct the deformation field, given its full set of discrete gradient vectors. We propose to decompose the reconstruction problem into independent problems of smaller dimensions, yielding a natural parallelization of the computations and enabling us to reduce drastically the computational time (up to 80 in some applications). For each subdomain, a functional minimization problem under Lagrange interpolation constraints is introduced and its well-posedness is studied: existence/uniqueness of the solution, characterization of the solution, convergence of the method when the number of data increases to infinity, discretization with the Finite Element Method and discussion on the properties of the matrix involved in the linear system. Numerical simulations based on OpenMP parallelization and MKL multi-threading demonstrating the ability of the model to handle large deformations (contrary to classical methods) and the interest of having decomposed the problem into smaller ones are provided.
We study orbital stability of solitary wave of the least energy for a nonlinear 2D Benney-Luke model of higher order related with long water waves with small amplitude in the presence of strong surface tension. We follow a variational approach which includes the characterization of the ground state solution set associated with solitary waves. We use the Hamiltonian structure of this model to establish the existence of an energy functional conserved in time for the modulated equation associated with this Benney-Luke type model. For wave speed near to zero or one, and in the regime of strong surface tension, we prove the orbital stability result by following a variational approach.
We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is continuously aligned to that of the neighbors, up to some noise. A continuum model is derived starting from a mean-field kinetic description of the particle system. It leads to a set of non conservative hydrodynamic equations. We provide a numerical validation of the continuum model by comparison with the particle model. We also provide comparisons with other self-propelled particle models with alignment and repulsion.
In this paper an optimal control problem for a large system of interacting agents is considered using a kinetic perspective. As a prototype model we analyze a microscopic model of opinion formation under constraints. For this problem a Boltzmann type equation based on a model predictive control formulation is introduced and discussed. In particular, the receding horizon strategy permits to embed the minimization of suitable cost functional into binary particle interactions. The corresponding Fokker-Planck asymptotic limit is also derived and explicit expressions of stationary solutions are given. Several numerical results showing the robustness of the present approach are finally reported.
Owing to the Rosenau argument [Phys. Rev. A 46, 12-15, 1992], originally proposed to obtain a regularized version of the Chapman-Enskog expansion of hydrodynamics, we introduce a non-local linear kinetic equation which approximates a fractional diffusion equation. We then show that the solution to this approximation, apart of a rapidly vanishing in time perturbation, approaches the fundamental solution of the fractional diffusion (a Levy stable law) at large times.
We study a non-local parabolic Lotka-Volterra type equation describing a population struc- tured by a space variable x\in R^d and a phenotypical trait \theta \in {\Cal \Theta}. Considering diffusion, mu- tations and space-local competition between the individuals, we analyze the asymptotic (long time/longreal phase WKB ansatz, we prove that the propagation of the population in space can be de- scribed by a Hamilton-Jacobi equation with obstacle which is independent of \theta. The effective Hamiltonian is derived from an eigenvalue problem. The main difficulties are the lack of regularity estimates in the space variable, and the lack of comparison principle due to the non-local term.
In this paper, we study the asymptotic behavior of a state-based multiscale heterogeneous peridynamic model. The model involves nonlocal interaction forces with highly oscillatory perturbations representing the presence of heterogeneities on a finer spatial length scale. The two-scale convergence theory is established for a steady state variational problem associated with the multiscale linear model. We also examine the regularity of the limit nonlocal equation and present the strong approximation to the solution of the peridyanmic model via a suitably scaled two-scale limit.
This paper deals with the derivation of macroscopic equations from the underlying mesoscopic description that is suitable to capture the main features of pedestrian crowd dynamics. The interactions are modeled by means of theoretical tools of game theory, while the macroscopic equations are derived from asymptotic limits.
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equation with a general self-interaction, being a linear combination of the scalar, pseudoscalar, vector and axial vector self-interactions to the power of the integer k+1. The solitary wave solutions to the NLD equation are analytically derived, and the upper bounds of the hump number in the charge, energy and momentum densities for the solitary waves are proved analytically in theory. The results show that: (1) for a given integer k, the hump number in the charge density is not bigger than 4, while that in the energy density is not bigger than 3; (2) those upper bounds can only be achieved in the situation of higher nonlinearity, namely k\in {5,6,7, ...} for the charge density and k \in {3,5,7 ...} for the energy density; (3) the momentum density has the same multi-hump structure as the energy density; (4) more than two humps (resp. one hump) in the charge (resp. energy) density can only happen under the linear combination of the pseudoscalar self-interaction and at least one of the scalar and vector (or axial vector) self-interactions. Our results on the multi-hump structure will be interesting in the interaction dynamics for the NLD solitary waves.
We consider a diffuse interface model for phase separation of an isothermal incompressible binary fluid in a Brinkman porous medium. The coupled system consists of a convective Cahn-Hilliard equation for the phase field \phi, i.e., the difference of the (relative) concentrations of the two phases, coupled with a modified Darcy equation proposed by H.C. Brinkman in 1947 for the fluid velocity u. This equation incorporates a diffuse interface surface force proportional to \phi \nabla \mu, where \mu where 5 is the so-called chemical potential. We analyze the well-posedness of the resulting Cahn-Hilliard-Brinkman (CHB) system for (\phi, u). Then we establish the existence of a global attractor and the convergence of a given (weak) solution to a single equilibrium via Lojasiewicz-Simon inequality. Furthermore, we study the behavior of the solutions as the viscosity goes to zero, that is, when the CHB system approaches the Cahn-Hilliard-Hele-Shaw (CHHS) system. We first prove the existence of a weak solution to the CHHS system as limit of CHB solutions. Then, in dimension two, we estimate the difference of the solutions to CHB and CHHS systems in terms of the viscosity constant appearing in CHB.
This paper deals with the long time behavior of solutions to a "fractional Fokker-Planck" equation of the form \partial_t f= I[f] + \div(xf) where the operator I stands for a fractional Laplacian. We prove an exponential in time convergence towards equilibrium in new spaces. Indeed, such a result was already obtained in a L^2 space with a weight prescribed by the equilibrium in [Gentil, I. and ]Imbert, C., Asymp. Anal. 59, 3-4 (2008), 125-138] . We improve this result obtaining the convergence in a L^1 space with a polynomial weight. To do that, we take advantage of the recent paper [Gualdani, M.P., Mischler, S. and Mouhot, C., http://hal.archives-ouvertes.fr/ccsd-0049578 (2010).] in which an abstract theory of enlargement of the functional space of the semigroup decay is developed.
We study pathwise entropy solutions for scalar conservation laws with inhomogeneous fluxes and quasilinear multiplicative rough path dependence. This extends the previous work of Lions, Perthame and Souganidis who considered spatially independent and inhomogeneous fluxes with multiple paths and a single driving singular path respectively. The approach is motivated by the theory of stochastic viscosity solutions which relies on special test functions constructed by inverting locally the flow of the stochastic characteristics. For conservation laws this is best implemented at the level of the kinetic formulation which we follow here.
Selective image segmentation is the task of extracting one object of interest from an image,
based on minimal user input. Recent level-set based variational models have shown to
be effective and reliable, although they can be sensitive to initialization due to the minimization problems being nonconvex. This sometimes means that successful segmentation
relies too heavily on user input or a solution found is only a local minimizer, i.e. not the
correct solution. The same principle applies to variational models that extract all objects
in an image (global segmentation); however, in recent years, some have been successfully
reformulated as convex optimization problems, allowing global minimizers to be found.
There are, however, problems associated with extending the convex formulation to the current selective models, which provides the motivation for the proposal of a new selective model. In this paper we propose a new selective segmentation model combining ideas from global segmentation that can be reformulated as convex such that a global minimizer can be found independent of initialization. Numerical results are given that demonstrate its reliability in terms of removing the sensitivity to initialization present in previous models, and its robustness to user input.
The present paper is devoted to the study of the Cauchy problem for the magnetic-curvature-driven electromagnetic fluid equation with random effects in a bounded domain of R^3. We first obtain a crucial property of the solution to O.U. process, thanks to the lemma, the local well-posedness of the equation with the initial and boundary value is established by the contraction mapping argument. Finally, by virtue of a priori estimates, the existence and uniqueness of global solution to the stochastic plasma equation is proved.
This paper addresses the problem of global well-posedness of a cou- pled system of Korteweg-de Vries equations, derived by Majda and Biello in the context of nonlinear resonant interaction of Rossby waves, in a periodic setting in homogeneous Sobolev spaces H^s, for s\ge 0. Our approach is based on a sussessive time-averaging method developed by Babin, Ilyin and Titi [A.V. Babin, A.A. Ilyin and E.S. Titi, Comm. Pure Appl. Math. 64, 591-648, 2011].
We study the large time behavior of solutions near a constant equilibrium state to the compressible Euler-Maxwell system in R^3. We first refine the global existence of solutions by assuming that the initial data is small in the H^3 norm but its higher order derivatives could be large. If further the initial data belongs to H^{-s} (0\le s \le 3/2) or B^{-s}_{2, \infty} (0\le s \le 3/2), then we obtain the various time decay rates of the solution and its higher order derivatives. As an immediate byproduct the L^p-L^2 (1\le p \le 2) type of the decay rates follows without requiring the smallness for L^p norm of the initial data. So far, our decay results are most comprehensive ones for the bipolar Euler-Maxwell system in R^3.
The main objective of this article is to study the order-disorder phase transition and pattern formation for systems with long-range repulsive interactions. The main focus is on a Cahn-Hilliard model with a nonlocal term in the corresponding energy functional, representing certain long-range repulsive interaction. We show that as soon as the trivial steady state loses its linear stability, the system always undergoes a dynamic transition to one of the three types-- continuous, catastrophic, or random-- forming different patterns/structures, such as lamellae, hexagonally packed cylinders, rectangles, and spheres. The types of transitions are dictated by a non-dimensional parameter, measuring the interactions between the long-range repulsive term and the quadratic and cubic nonlinearities in the model. In particular, the hexagonal pattern is unique to this long-range interaction, and it is captured by the corresponding two-dimensional reduced equations on the center manifold, which involve (degenerate) quadratic terms and non-degenerate cubic terms. Explicit information on the metastability and basins of attraction of different ordered states, corresponding to different patterns, are derived as well.
We study a general Ericksen-Leslie system with non-constant density, which describes the flow of nematic liquid crystal. In particular the model investigated here is associated with Parodi's relation. We prove that: in two dimension, the solutions are globally regular with general data; in three dimension, the solutions are globally regular with small initial data, or for short time with large data. Moreover, a weak-strong type of uniqueness result is obtained.
In recent work, Li et al. (Comm.\ Math.\ Sci., 7:81-107, 2009) developed a diffuse-domain method (DDM) for solving partial differential equations in complex, dynamic geometries with Dirichlet, Neumann, and Robin boundary conditions. The diffuse-domain method uses an implicit representation of the geometry where the sharp boundary is replaced by a diffuse layer with thickness $\epsilon$ that is typically proportional to the minimum grid size. The original equations are reformulated on a larger regular domain and the boundary conditions are incorporated via singular source terms. The resulting equations can be solved with standard finite difference and finite element software packages. Here, we present a matched asymptotic analysis of general diffuse-domain methods for Neumann and Robin boundary conditions. Our analysis shows that for certain choices of the boundary condition approximations, the DDM is second-order accurate in $\epsilon$. However, for other choices the DDM is only first-order accurate. This helps to explain why the choice of boundary-condition approximation is important for rapid global convergence and high accuracy. Our analysis also suggests correction terms that may be added to yield more accurate diffuse-domain methods. Simple modifications of first-order boundary condition approximations are proposed to achieve asymptotically second-order accurate schemes. Our analytic results are confirmed numerically in the $L^2$ and $L^\infty$ norms for selected test problems.
Global geometrical optics method is a new semi-classical approach for the high frequency linear waves proposed by the author in [Commun. Math. Sci., 11(1), 105-140, 2013]. In this paper, we rederive it in a more concise way. It is shown that the right candidate of solution ansatz for the high frequency wave equations is the extended WKB function, other than the WKB function used in the classical geometrical optics approximation. A new and main contribution of this paper is an interface analysis for the Helmholtz equation when the incident wave is of extended WKB-type. We derive asymptotic expressions for the reflected and/or transmitted propagating waves in the general case. These expressions are valid even when the incident rays include caustic points.
MUSCL extensions (Monotone Upstream-centered Schemes for Conservation Laws) of the Godunov numerical scheme for scalar conservation laws are shown to admit a rather simple reformulation when recast in the formalism of the Harr multi-resolution analysis of L^2(R). By pursuing this wavelet reformulation, a seeimingly new MUSCI-WB scheme is derived for advection-reaction equations which is stable for a Courant number up to 1 (instead of roughly 1/2). However these high-order reconstructions aren't likely to improve the handling of delication nonlinear wave interactions in the involved case of systems of Conservation/Balance laws.
Phase retrieval aims to recover a signal x\in C^m from its amplitude measurements |(x, a_i)|^2, i=1,2,...m, where a_i's are over-complete basis vectors, with m at least 3n-2 to ensure a unique solution up to a constant phase factor. The quadratic measurement becomes linear in terms of the rank-one matrix X=xx^*. Phase retrieval is then a rank- one minimization problem subject to linear constraint for which a convex relaxation based on trace-norm minimization (PhaseLift) has been extensively studied recently. At m=O(n), PhaseLift recovers with high probability the rank-one solution. In this paper, we present a precise proxy of rank-one condition via the dierence of trace and Frobenius norms which we call PhaseLiftO. The associated least squares minimization with this penalty as regularization is equivalent to the rank-one least squares problem under a mild condition on the measurement noise. Stable recovery error estimates are valid at m=O(n) with high probability. Computation of PhaseLiftO minimization is carried out by a convergent dierence of convex functions algorithm. In our numerical example, a_i's are Gaussian distributed. Numerical results show that PhaseLiftO outperforms PhaseLift and its nonconvex variant (log-determinant regularization), and successfully recovers signals near the theoretical lower limit on the number of measurements without the noise.
We study the Godunov scheme for a nonlinear Maxwell model arising in nonlinear optics, the Kerr model. This is a hyperbolic system of conservation laws with some eigenvalues of variable multiplicity, neither genuinely nonlinear nor linearly degenerate. The solution of the Riemann problem for the full-vector 6\times 6 system is constrcuted and proved to exist for all data. This solution is comprated to the one of the reduced Transverse Magnetic model. The scheme is implemented in one and two space dimensions. The results are very close to the ones obtained with a Kerr-Debye relaxation approximation.
A real option model is built upon a stochastic process for some real investment decision making in incomplete markets. Typically, optimal consumption level is obtained under logarithm utility constraint, and a partial integro-dierential equation (PIDE) of the real option is deduced by martingale methods. Analytical formulation of the PIDE is solved by Fourier transformation. Two types of decision making strategies, i.e.: option price and IRP (inner risk primium) comparisons, are provided. Monte Carlo simulation and numerical computation are provided at last to verify the conclusion.
Kohn-Sham density functional theory is one of the most widely used electronic structure theories. The recently developed adaptive local basis functions form an accurate and systematically improvable basis set for solving Kohn-Sham density functional theory using discontinuous Galerkin methods, requiring a small number of basis functions per atom. In this paper we develop residual-based a posteriori error estimates for the adaptive local basis approach, which can be used to guide non-uniform basis refinement for highly inhomogeneous systems such as surfaces and large molecules. The adaptive local basis functions are non-polynomial basis functions, and standard a posteriori error estimates for hp-refinement using polynomial basis functions do not directly apply. We generalize the error estimates for hp-refinement to non-polynomial basis functions. We demonstrate the practical use of the a posteriori error estimator in performing three-dimensional Kohn-Sham density functional theory calculations for quasi-2D aluminum surfaces and a single-layer graphene oxide system in water.
We prove the existence of global-in-time weak solutions to a model of chemically reacting mixture. We consider a coupling between the compressible Navier-Stokes system and the reaction diusion equations for chemical species when the thermal eects are neglected. We rst prove the existence of weak solutions to the semi-discretization in time. Based of this, the existence of solutions to the evolutionary system is proved.
The compressible Navier{Stokes{Poisson equations driven by a time{periodic external force are considered in this paper. The system takes into account the eect of self{gravitation. We establish the existence of weak time{periodic solutions on condition that the adiabatic constant satisfices \gamma>5/3.
We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we manage to prove the complete phase synchronization for any non-atomic measure-valued initial datum. We also discuss the relation between the boundedness of the entropy and the convergence to an incoherent state, for the case of non identical natural frequencies.
In underwater acoustic waveguides a pressure field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper, we analyze the effects produced by a randomly perturbed free surface and an uneven bottom topography on the coupling mechanism between these three kinds of modes. Using an asymptotic analysis based on a separation of scales technique we derive the asymptotic form of the distribution of the forward mode amplitudes. We show that the surface and bottom fluctuations affect the propagating-mode amplitudes mainly in the same way. We observe an effective amplitude attenuation which is mainly due to the coupling between the propagating modes themselves. However, for the highest propagating modes this mechanism is stronger and due to an efficient coupling with the radiating modes.
We address the weighted decay for the solution of the surface quasi-geostrophic (SQG) equation. The first moment decay was obtained by M. and T. Schonbek. Here we obtain new decay rates of the first moment and the rate of increase of this quantity under natural assumption on the initial data.
In this paper, we study the existence and uniqueness of subsonic potential flows in general smooth bounded domains when the normal component of the momentum on the boundary is prescribed. It is showed that if the Bernoulli constant is given larger than a critical number, there exists a unique subsonic potential flow. Moreover, as the Bernoulli constants decrease to the critical number, the subsonic flows converge to a subsonic-sonic flow.
In this paper, we consider the well-posedness of the compressible nematic liquid crystal flow with the cylinder symmetry in R^n. By establishing a uniform point-wise positive lower and upper bounds of the density, we derive the global existence and uniqueness of strong solution and show the long time behavior of the global solution. Our results do not need the smallness of the initial data. Furthermore, a regularity result of global strong solution is given as well.
We propose a convex variational principle to find sparse representation of low-lying eigenspace of symmetric metrices in the context of electronic structure calculation, this corresponds to a sparse density matrix minimization algorithm with l_1 regularization. The minimization problem can be efficiently solved by a split Bregman iteration type algorithm. We further prove that from any initial condition, the algorithm converges to a minimizer of the variational principle.
Here we develop a model of smectic-C liquid crystals by forming their hydrostatic and hydrodynamic theories, which are motivated by the work of W. E [Arch. Rational Mech. Anal., 137(1997)]. A simplied model is also presented. In order to prove the rationality of the model, we establish the energy dissipative relation of the new model. Meanwhile, we verify that the system can also be obtained using asymptotic analysis when both the fluid and layers are incompressible.
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an L^1 norm (or related quantity) as a constraint or penalty in a variational principle. We apply this approach to partial differential equations that come from a variational quantity, either by minimization (to obtain an elliptic PDE) or by gradientfl ow (to obtain a parabolic PDE). Also, we show that some PDEs can be rewritten in an L^1 form, such as the divisible sandlile problem and signum-Gordon. Addition of an L^1 term in the variational principle leads to a modied PDE where a subgradient term appears. It is known that modified PDEs of this form will often have solutions with compact support, which corresponds to the discrete solution being sparse. We show that this is advantageous numerically through the use of efficient algorithms for solving L^1 based problems.
We characterize interior transmission eigenvalues of penetrable anisotropic acoustic scattering objects by a technique known as inside-outside duality. This method has recently been identified to be able to link interior eigenvalues of the penetrable scatterer with the behavior of the eigenvalues of the far field operator for the corresponding exterior time-harmonic scattering problem. A basic ingredient for the resulting connection is a suitable self-adjoint factorization of the far field operator based on wave number-dependent function spaces. Under certain conditions on the anisotropic material coeffi cients of the scatterer, the inside-outside duality allows to rigorously characterize interior transmission eigenvalues from multi-frequency far field data. This theoretical characterization moreover allows to derive a simple numerical algorithm for the approximation of interior transmission eigenvalues. Since it is merely based on far field data, the resulting eigenvalue solver does not require knowledge on the scatterer or its material coefficient; several numerical examples show its feasibility and accuracy for noisy data.
Mean field type models have been recently introduced and analyzed by Lasry and Lions. They describe a limiting behavior of stochastic dierential games as the number of players tends to infinity. Numerical methods for the approximation of such models have been developed by Achdou, Camilli, Capuzzo-Dolcetta, Gueant, and others. Efficient algorithms for such problems require special efforts and so far all methods introduced have been first order accurate. In this manuscript we design a second order accurate numerical method for time dependent Mean Field Games. The discretization is based on central schemes which are widely used in hyperbolic conservation laws.
We consider two-phase Navier-Stokes flow with a Boussinesq-Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We introduce and analyze parametric finite element approximations, and show, in particular, stability results for semidiscrete versions of the methods, by demonstrating that a free energy inequality also holds on the discrete level. We perform several numerical simulations for various scenarios in two and three dimensions, which illustrate the effects of the surface viscosity.


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Mother of 5 sold for N5m to ritualist slumps, dies
It was double tragedy in a Warri community in Delta State as the mother of five school children who were allegedly sold to a suspected ritualist, slumped and died.
Jonathan has poor understanding of insurgency, says Obasanjo
Former Head of State, President Olusegun Obasanjo in his characteristic manner Wednesday could not hold back his attack on President…
Central Bank to drain 568 bln naira from bank accounts, banks scramble for funds
(LAGOS) Nigeria's central bank on Wednesday advised banks it would drain a combined 568 billion Nigerian naira ($43 billion) from…
AFCON 2015 ouster: Odegbami, Fregene differ on Eagles
Nigeria's ouster from the AFCON 2015 Nations Cup has continued to generate reactions from the nation's football stakeholders.
The man, Ogbeni Aregbesola
Nigeria's ranking on Global Terrorism Index
Surprises, spectacle at Music & Entertainment Gospel Awards (MEGA) 2014
The uncanny revolution for the awakening of the Nigerian music industry instituted by the organisers of Nigeria's premier gospel awards,…
GODDY UWAZURIKE: I'd have been a Catholic priest
Providence has a way of reordering our paths. According to Prof Chinua Achebe in Things Fall Apart, some people say,…
Sense of style Beautiful, chic and sophisticated, former NTA Director of Marketing, Grace Egbagbe, is regarded as one of the…
A vote for the civil servant governor
I must confess, that this piece is informed by the telephone call I received from a friend whose principal is in the race for the Delta State governorship. He had called to complain about the alleged plot to impose a certain Tony Obuh on the PDP in t[...]
Neither PDP nor APC
My weeklong visit to Nigeria last week was enlightening. Here's one of the clearest things I discovered: That most enlightened Nigerians are deeply dissatisfied, indeed troubled, by the state of affairs in their country. Those I talked to included me[...]
Dangiwa Umar, others write on 'Badeh, Boko Haram and our nation'
Athought - provoking piece naturally provokes thought-provoking reactions. That has been my experience since last week, after the publication of the column, 'BADEH, BOKO HARAM AND OUR NATION.' From all over the nation, the reactions came pouring. M[...]
I think it was in year 2000 that I decided to change my Mitsubishi Lancer and buy a Mercedes Benz 190. As soon as I told some people, they were full of discouragements. They told me it was too big for me and that as a woman I should buy 'First Lady[...]
Market Summary
...as at July 15, 2014
|Market Capitalisation (₦) 14,189,103,577,525.20 |Volume 251,758,465 |Market Index 42,971.56 |Market Value (₦) 3,003,431,717.63 |Deals 5,692 |Gainers: 33|Losers 27 |Unchanged:


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Serravella at Spring Valley
View property, WalkScore, and Driving Directions
Fax: (407) 862-1873
Serravella offers 1, 2 and 3 bedroom apartment homes for rent in Altamonte Springs. Located minutes from I-4, Uptown Altamonte, the Altamonte Mall, Maitland employers, Downtown Orlando, Seminole State College, shopping and dining. Public transportation nearby.
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Additional Information
Apartments in Community: 224
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As you search for your perfect apartment, please keep in mind that rental rates (including specials and discounts) and availability are very fluid in the apartment industry. Based on many factors, the rental rates (including specials and discounts) and availability can actually change not just daily, but hourly, if not even more quickly. While our advertisers do take steps to keep their information current, the rental rates or availability you may find here now at ForRent.com may not be the same as when you contact the communities.


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Photos of the week
Firefighters try to extinguish a fire at the Hangzhou Yusei Machinery Co., Ltd in Xiaoshan District in Hangzhou, Zhejiang Province January 1, 2013. Three firemen died while trying to extinguish a factory blaze which broke out in the early hours of Tuesday in east China's Zhejiang Province, fire authorities said, Xinhua News Agency reported. REUTERS/Stringer
A father reacts after the death of two of his children, whom activists said were killed by shelling by forces loyal to Syria's President Bashar al-Assad, at al-Ansari area in Aleppo January 3, 2013. REUTERS/Muzaffar Salman
A protester with a gag tied around her mouth takes part in a silent protest for a gang rape victim in New Delhi December 29, 2012. The Indian woman whose gang rape in New Delhi triggered violent protests died of her injuries on Saturday in a Singapore hospital, bringing a security lockdown in Delhi and recognition from India's prime minister that social change is needed. REUTERS/Adnan Abidi
A woman celebrates the New Year as she watches fireworks exploding above Copacabana beach in Rio de Janeiro January 1, 2013. More than two million people gathered along Rio's most famous beach to witness the 20-minute display and celebrate the beginning of a new year. REUTERS/Pilar Olivares
Palestinian protesters throw stones near burning tyres during clashes with Israeli security officers in the West Bank village of Tamoun, near the West Bank city of Jenin January 1, 2013. Clashes broke out after an Israeli military operation in the village on Tuesday. REUTERS/Ammar Awad
Royal Saudi Air Force jets fly in formation during a graduation ceremony for air force officers at King Faisal Air Academy in Riyadh, Saudi Arabia, January 1, 2013. REUTERS/Fahad Shadeed
Resident Kim Yong-bin (2nd L), 48, jumps to tear a balloon with a cutter just before a group of anti-North Korea activists release the balloon carrying anti-North Korea leaflets towards the North, in front of the former North Korean Labour Party Cheorwon Office Building near the demilitarized zone separating the two Koreas in Cheorwon, northeast of Seoul January 1, 2013. Kim was opposing releasing balloons towards the North as the...
Czech Republic's Lukas Hlava crashes during the second jumping of the 61st four-hills ski jumping tournament in Garmisch-Partenkirchen, southern Germany, January 1, 2013. REUTERS/Michael Dalder
A girl looks up to the sky after hearing the sound of shelling as she sits on a toy pony in the playground of Al-Tawheed school in Aleppo January 1, 2013. REUTERS/Muzaffar Salman
Davin Pickerill sits on a school bus as the Sandy Hook School children head back to classes in Monroe, Connecticut, January 3, 2013. Hundreds of children who had escaped a harrowing attack on their elementary school in Newtown, Connecticut, last month, headed back to classes on Thursday for the first time since a gunman had barged into their school and killed 20 of their schoolmates and six staff members. REUTERS/Carlo Allegri
Shoes hang on a power line at Letna park overlooking Prague early January 2, 2013. Czech teenagers, who skateboard at the park, throw their damaged and unwanted shoes over the wire for fun at the city's main skating hangout, once the site of a monument to former Soviet leader Josef Stalin. REUTERS/Petr Josek
Race2Recovery team member injured Afghanistan veteran Mark Zambon of the U.S gets into his Land Rover during the technical verification exercise of the Dakar Rally 2013 at Magdalena beach in Lima January 3, 2013. REUTERS/Jacky Naegelen
President Barack Obama winks as he arrives with Vice President Joe Biden (L) in the briefing room to make remarks after the House of Representatives acted on legislation intended to avoid the "fiscal cliff," at the White House in Washington January 1, 2013. The Republican-controlled House backed a tax hike on the top U.S. earners shortly before midnight on Tuesday, ending weeks of high-stakes budget brinkmanship that threatened to...
Secretary of State Hillary Clinton leaves New York Presbyterian Hospital with husband, Bill (TOP R), and daughter, Chelsea (R), in New York, January 2, 2013. The secretary of state, who has not been seen in public since Dec. 7, was revealed on Sunday evening to be in a New York hospital under treatment for a blood clot that stemmed from a concussion she suffered in mid-December. REUTERS/Joshua Lott
Ultra-Orthodox Jewish men take part in a yoga class at a studio in Ramat Beit Shemesh, some 20 km (12 miles) from Jerusalem January 1, 2013. Almost a dozen devout Jewish men meet weekly at the studio, the only one of its kind in a neighbourhood where tensions have flared in the past between religious and secular Jews. The studio offers gender separated classes in accordance with the religious beliefs against mixing of the sexes in...
A civilian and a firefighter (L) try to salvage useful material after a fire in Srinagar January 1, 2013. At least one person was injured and one residential house damaged in the fire on Tuesday and the cause of the fire is being ascertained, police said. REUTERS/Danish Ismail
An injured man receives treatment at a hospital in Karachi January 1, 2013. A bomb exploded in a crowded area of Pakistan's southern port city of Karachi on Tuesday, killing at least one person and wounding 21, police said. REUTERS/Athar Hussain
Zoo keeper Zuzana Matyasova poses with penguins during the annual stock take at London Zoo January 3, 2013. The compulsory count of more than 17,500 animals is noted annually as part of the zoo's licence, and the information is logged with the International Species Information System (ISIS), used for managing international breeding programs of endangered animals. REUTERS/Luke MacGregor
Preschooler Haris Zufairy Kamil Zairi, 6, refuses to enter the class as his mother tries to comfort him during his first day of school in Putrajaya, outside Kuala Lumpur January 2, 2013. REUTERS/Bazuki Muhammad
A school bus passes angel paintings seen along the route to the Chalk Hill School where the Sandy Hook Elementary School children will begin to attend classes in Monroe, Connecticut, January 2, 2013. REUTERS/Carlo Allegri


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15 April 2014
Durham flanker Jonny Coser will captain England Under 18 Clubs and Schools in their opening match of the Tri-Nations Tournament against Ireland Under 18 Clubs at the French National Training Centre in Marcoussis on Wednesday, April 16 (3pm local time)
There were wins for England London and South East and England North at the BMW Wellington International Festival yesterday
11 April 2014
Dave Reed, head coach of the England Under 18 Clubs and Schools team, hopes that his young squad will develop as people as well as rugby players during next week's tri-nations tournament in France
09 April 2014
England Counties XV will play two matches against Emerging Georgia on their summer tour in June
08 April 2014
Cambridge will host the England Counties Under 20s international against Georgia Under 20s at their Volac Park headquarters on May 24 (kick-off 2pm)


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Town Square
Woman who died in crash had lived in PA
Original post made on May 30, 2007
Comments (1)
a resident of Green Acres
on May 30, 2007 at 12:32 am
This family lived in apartments on Los Robles Ave in the Barron Park area for years. They were very well liked and very family oriented. RIP..
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Draghi Sharpens "Three Arrows" for Europe
When the European Central Bank's Governing Council convenes tomorrow in Frankfurt, there will be plenty of talk about Mario Draghi's recent speech at Jackson Hole. Not only did this open the door to a large-scale quantitative easing (QE) programme, it may in time be seen as a pivotal moment in the evolution of the euro area's policy framework as it attempts to fend off the forces of deflation.Read More
China's Reforms Open New Path to Equities
Stuart Rae (pictured) and John Lin
For investors in China equities, there have traditionally been two ways of approaching the market: through expensive growth stocks, or risky contrarian plays. Now, thanks to China's reforms, there's a third way which may offer a better balance of risk and return.Read More
China's Property Market: The Risks for Banks
By Hayden Briscoe (pictured) and Hua Cheng of AllianceBernstein (NYSE:AB)
Despite worries about a collapse in China's property market, we think the financial system will navigate the coming credit cycle if banks can buy time to resolve loan problems—and receive government support if needed.Read More
China's Property Market: Policy Is the Real Risk
By Hayden Briscoe (pictured) and Jenny Zeng of AllianceBernstein (NYSE:AB)
Concerns about a possible collapse in China's property market continue to grow. However, our research suggests that fundamentals are more robust than many think. The biggest danger lies in the potential for policy mistakes.Read More
New US Bank Rules a Boon for Bond Investors
By Jeff Skoglund (pictured) and Shrut Vakil of AllianceBernstein (NYSE: AB)
US banks have come a long way since the financial crisis, and that's good news for fixed-income investors. We think better fundamentals and stricter regulations are creating a good formula for banks' preferred securities.Read More
What Your Parents Didn't Tell You About Saving for Retirement
Chances are, your parents have told you to max out your 401(k) plan. That's good advice, but the hard truth is that your 401(k) plan is highly likely to fall short. To live comfortably in retirement, our research shows, you will almost surely need more.Read More
Is a Big Equity Correction Imminent? Not Yet
Many investors think US stocks are due for a correction: They feel that the market has run too far, that the Fed has been slow to act, that complacency has created pockets of excess. Do these gut feelings mean a major equity correction looms? Not yet, in our view.Read More
Low Duration Means Low Risk? Not Necessarily
To protect their portfolios from rising interest rates and volatility, many high-yield investors have headed for short-duration strategies. We think some of the more popular approaches may expose investors to bigger hazards than they realize.Read More
Don't Be Passive About Rising Rates
Though they've defied expectations this year, higher interest rates appear to be all but inevitable. Investors need to take measure of the rate sensitivity in their portfolios—and stay agile—to negotiate the rough market crosscurrents a rate reversal may bring.Read More
Seven Things to Consider About Emerging Markets Now
After several years of disappointing returns, emerging-market (EM) equities are regaining interest, attracting flows and outperforming their developed-market (DM) counterparts this year. For investors thinking about adding EM exposure, we offer seven factors to consider.Read More


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executive jobs near Westfield, NJ
Account Executive
CBS Sports Network - Entertainment and Media Industry- New York City, NY
East Coast operations. The Ad Sales Account Executive is responsible for negotiating and ... television advertising industry. The Account Executive will be a self-motivated team...5 days ago from VelvetJobs
Global Apparel Sales Account Executive
Confidential- New York City, NY
is seeking a Global Sales Account Executive. The company owns and operates brands ... Account Executive is a seasoned sales executive that will oversee several children's...5 days ago from ZipRecruiter
Account ExecutiveNEW
Bradbury Lewis- New York City, NY
Bradbury Lewis seeks a creative Account Executive professional with 2-4 years public relations experience and knowledge of the ready-to-wear and accessories categories. The...7 hours ago from FashionJobsToday.com
Account Executive
CMS Funding- Wayne, NJ
Company Description: About Us CMS Funding has been in the equipment and working capital financing industry for over 25 years. Our management team has consistently helped large and...9 days ago from ZipRecruiter
Senior Account Executive, Fashion Division
Pierce Mattie Communications - Fashion Industry- New York City, NY
JOB DESCRIPTION Seeking an Account Executive with 3+ years of fashion PR experience to join our agency. Candidates must be extremely well-organized, enthusiastic and capable of...8 days ago from VelvetJobs
Associate Account Executive
Kasper Group - Fashion Industry- New York City, NY
opportunity for a Associate Account Executive. The Associate Account Executive will work with the management and sales team to help track, execute and manage sales strategy...8 days ago from VelvetJobs
Field Sales Representative (2)-Random House Adult
Penguin Random House- New York City, NY
Company Description: Penguin Random House values the array of talents and perspectives that a diverse workforce brings. We are an Equal Opportunity Employer. Job Description: Our...6 days ago from ZipRecruiter
Account ExecutiveNEW
One Jeanswear Group- New York City, NY
brand, is currently seeking an Account Executive! This position is responsible for ... Degree - 1-2 years as sales asst/ jr account executive - Ability to perform complex verbal...2 days ago from FashionJobsToday.com
Executive Director of Ecommerce
La MER & Jo Malone- New York City, NY
The Executive Director of eCommerce will manage overall ecommerce business and deliver ... brand digital strategies is a must. The Executive Director will reports directly to...7 days ago from FashionJobsToday.com
Experienced senior level sales and merchandising executive specializing in product development, merc
Richie Tailor- Staten Island, NY
Responsibilities:-Partner with Design Director to develop and implement business plans by account to achieve corporate sales goals.-Ability to analyze selling data by...24 days ago from Get Fashion Design Jobs
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Events for July 3, 2014
Earth Day Festival
When: 04/27/2014
Celebrate our beautiful green planet at Pinecrest Gardens' annual Earth Day Festival. This fun-filled day will feature a variety of eco-friendly activities for the whole family, including a farmers market, live wildlife shows and other entertainment, informative green workshops, and more.
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At BLT Prime Miami, sunday brunch is always served with beautiful views. http://...Read More
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Florida Residents, enjoy a stay-cation to Trump National Doral and receive these special savings: http://t.co/DiYBzdUAGfRead More
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Trump at Home: How to Make Delicata Squash BisqueRead More


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4068956 - Clinical Site Manager (various locations)
Chicago, Kansas City, Detroit, St. Louis, Minneapolis
Job Purpose:
The Contract Senior Clinical Site Manager will be responsible for implementing and executing clinical trials in the sites assigned under his/her responsibility. He/she should ensure compliance with ...
Nov 13 -
Saint Louis
Clinical Site Manager
My name is Jessica, and I represent The Fountain Group. We are a national staffing firm and are currently seeking a/an Clinical Site Manager position for a prominent client of ours. This position is located in REMOTE/TRAVEL. Details for the positions are as follows:
Nov 10 -
Saint Louis
Job summary
The Clinical Site Manager (CSM) is primary point of contact with all clinical sites during clinical trials. As such, the CSM is responsible for providing technical, educational and clinical support to their assigned sites for Veniti's clinical research studies.
Oct 23 -
Saint Louis
Microbial Formulations Chemist
We are seeking an exceptionally talented scientist to become an integral member of our multidisciplinary Chemistry
Organization as a Microbial Formulations Chemist. This role will have responsibility for the development of microbial
formulations designed for use in crop ...
Oct 22 -
Saint Louis
Environmental Lab Manager
Contact Larry at 815-756-1221 for more details.
- BS -PhD Chemistry, Physical Science, Plant biology or Breeding
- 10+ years in a leadership role
- 5+ years in delivering scalable solutions for field applications
- Familiar with pathogen detection, ...
Oct 21 -
Saint Louis
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Haas VMC: Chip Clearing and Tool Lubrication
How do Haas Vertical Machining Centers keep your cutting tools lubricated and clear chips away from the cutting area? This short video will show you all the ways Haas VMCs tackle these important tasks. www.haascnc.com


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The name Parette was Chevalier. At one time a Chevalier family lived in and around St. Andrews West, Ont. Canada. Some of the Chevalier's in that area changed their name to Parette to distinguish themselves from their other Chevalier relatives. Parette was also a family name, it was the maiden name of the wife of one of the Chevalier men.
Look up the name Champaign -Chevalier on the ingernet - Great background -
Dawn Ann
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Gifts for Baby and Mum – Plants to Grow
When a new baby enters the world, family and friends take pride in giving gifts for baby and mum. There are numerous gift ideas out there that can be given and this can make the gift giving process very hard. For the plant lover, there are many gift sets that are available to give the new mother a gift that will last for years to come.
Gifts for baby and mum do not have to be traditional and that is where plants and trees come in. These types of gifts can be sentimental in that this type of gift can grow with the baby. There are many different types of plants and trees to choose from. No matter what the tastes of the mother are, there will be a tree or plant that will work for her.
Plants and trees that are given as gifts for baby and mum come in all shapes and sizes. There are simple house plants that will come planted in a pot. There will be flowering and fruit trees that can be grown indoors and then eventually transferred outside. The right plant or tree will be based on the personality and the likes of the mother.
Delivery of the gifts for baby and mum are not looked down upon. When a delivery is set up, everything is done to make sure that the delivery deadline is met. All deliveries are made on time, every time to guarantee customer satisfaction and total happiness with their gift.
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On Tuesday, October 28th, the library's public computers and printing system will be out of service from 9am until approximately 3pm for a planned software upgrade. Wi-Fi will still be available, and laptops are available for checkout from the Reference Desk with a signed agreement for use within the library. Thank you for your patience as we continue to improve our public computing system.
iOS Mess
iOS 8, the latest operating system for iPhone, iPad, and iPod Touch released on September 17th, has had a less than impressive debut. At first, it appeared to be unstable, causing crashes. Apple hurried to release the 8.0.1 patch, and the new software seemed to cause more problems than it fixed. Despite the fact that Apple quickly made the 8.0.1 patch unavailable, several people were stuck with updated (read: broken) iDevices. Apple states that iOS 8.0.2 is on the way, but if you are one of the unlucky folks looking for a way to downgrade back to iOS 8, follow these simple instructions from ReadWrite. If you feel that upgrading to iOS 8 was a mistake altogether, hurry and check out ReadWrite's instructions for downgrading back to iOS7, which may only work for a limited time.
Are you waiting to upgrade your Apple device? Let us know in the comments.
Time to Change All of Your Passwords. Seriously.
Yesterday, news broke that a Russian crime ring known as CyberVor has stolen over a billion username/password combinations, as well as a half billion email addresses from popular sites all over the web. While there is currently no way to confirm whether your information has been compromised, or even which websites have been hit, it would be prudent to assume that at least one of your online accounts has been jeopardized, and take action to ensure the security of all of your online accounts.
When creating new passwords for your accounts, do not reuse passwords for multiple accounts. That way, if one of your accounts gets hacked, criminals won't automatically have access to more of your accounts. There are several strategies for making sure the new passwords you create are secure. See this list for ideas.
Two-factor authentication (a.k.a. two-step verification) is another option provided by some websites that offer can offer an additional layer of account protection. For example, after entering my username and password at my bank site, I am always prompted to answer at least one of my pre-defined security questions. Another site that offers two-step verification is Gmail (more info). For more sites that offer two-factor authentication, check out this article by Lifehacker.
A couple of additional security tips:
- Do not set your computer/device to remember passwords.
- Make sure your computer/device is set to lock when it "sleeps" or you walk away from it. It may be inconvenient to keep logging in, but it will be even more inconvenient if your information gets stolen.
- Avoid logging into sensitive sites on public Wi-Fi if at all possible. Other users on the same network with the right software may be able to see your information as it is being transmitted.
While no online account is completely safe from hacking attempts, creating strong, unique passwords, using two-factor authentication, and only accessing accounts on secure network connections go a long way toward keeping your digital information out of the hands of criminals.
Do you have any additional security tips to share? If so, please share them with our readers in the comments section below.
Print from any device, anywhere, to the library's printer!
This week, the library upgraded its wireless printing system. The old system limited which devices could print, and the process of installing the software was fraught with annoyances. With the upgrade, sending a print job from anywhere is as easy as sending an email attachment!
How to Print
To print your document, photo or web page, go directly to our printing portal page:
Follow the on-screen instructions and press the green button to print your document.
- The email address you used when submitting your print job will be your login at the print release station.
- Enter your email address and remit payment using the print release station at the reference desk.
- All print jobs will be rendered on letter (8.5" x 11") sized paper. If the print job is set for larger paper, content will be resized to fit the smaller paper.
- To see a full list of file types that can be printed, visit: http://bit.ly/1ptF3di
Items on Secure Pages
Any items that require a login, such as boarding passes, Facebook pages, encrypted pages, Google Docs, etc., will need to be downloaded or converted to an image or PDF file before sending. Please see a librarian if you need assistance.
How to Print from a Mobile Device
Mobile devices can use the same procedure as other devices. Alternatively, Android and iOS users can download the PrinterOn app from Google Play or the App store.
You can print most types of files, including photos, web pages, PDFs and Microsoft file types. Web pages and photos can be printed directly from the app.
To use print preview, tap this icon:
To adjust print settings, tap this icon:
Android devices
Other files can be printed directly from within the "My Files" or "Gallery" locations using the "Share Via" function and selecting the PrinterOn app.
iOS devices
To print an email attachment, launch the native Mail app. Navigate to the email which contains the attachment. Tap and hold the attachment and select "Open in PrinterOn" from the next menu.
Printing from a Cloud Storage App
- Launch Box/Dropbox app
- Navigate to the item you wish to print
- (Box only—expand options using the icon in the top right corner)
- Tap the "open in" icon.
- Select "open in PrinterOn" and a preview will open.
- If necessary, select your printer by scanning a QR code, selecting a saved printer or searching for a new printer.
- To select copies and page range where applicable, tap the option icon in the top right corner.
- Tap print to submit.
Privacy and Security
This portal uses SSL to ensure the security of your transaction. The printer for this portal uses a privacy system. Your documents are held in a privacy print queue until you are present at the printer to authorize their release.
- Documents are not printed until you enter your email and remit payment at the print release station next to the printer located at the reference desk.
- The document is permanently deleted upon processing.
- Documents left unprinted for more than 24 hours are automatically deleted.
- Once printed, documents cannot be re-printed.
If you have questions or comments about the new service, please share them below or contact a librarian.
MakeUseOf Has the Answers to Questions You Didn't Know You Had
Staying current with IT news, trends, and tips is a fundamental part of my job in the library. While I get this information from a variety of resources, there is one website that keeps surprising me with helpful information on a variety of subjects of interest to me and the patrons I assist. I'd like to take this opportunity to give a shout out to MakeUseOf, a free online resource with timely articles, reviews, and help guides for all things tech. What really makes this resource shine is its ability to speak to both new and veteran users at the same time without confusing or boring either!
The home page at MakeUseOf displays headlines and teaser text for their most recent articles. I find this layout somewhat chaotic, so I prefer to sort the articles by category before browsing. Selecting "Topics" in the header menu will display the articles by category. The "Answers" section leads to a user forum where registered members can ask and answer questions from the MakeUseOf community. Check out the "Top List" section for "best of" lists for a variety of software and services on multiple platforms. For in-depth technology guides, have a look at their "E-books" area.
As a registered user of MakeUseOf, you can earn points for sharing their content on social media, as well as participating in the forum, polls, and other activities. Those points can be redeemed for rewards, such as entries in drawings for free hardware and software. My favorite benefit of membership has been receiving the newsletter. Each email has a few headlines with teaser text that can be easily scanned, with more information just a click away. I have happened upon lots of very useful information in these newsletters that I didn't even know I needed! You can opt-in to the newsletter by selecting the social media icons at the top of any MakeUseOf page, and then selecting the blue "Email" button.
What do you think of MakeUseOf? If you have another tech info source you love, please share it in the comments.
Our Library Catalogs Just Got More Accessible
As part of our recent library renovation, we made some improvements to the catalog search/event signup computers based on feedback from our patrons.
In addition to upgrading the machines to Windows 7, we broke up the centrally located circle of catalog search/event signup computers in order to distribute them throughout the library. Now, two catalog search/event signup computers remain centrally located, and the others can be found on either end of the main room of the library (by the Teen Area and the Periodicals area). As always, there is a separate catalog search computer in the Children's Room. Please note that a library card is not needed to access these computers.
The catalog search/event signup computer stands located at either end of the library are mounted to the wall. By default, they are set to be standing stations, but the height of the unit can be adjusted to wheelchair or child height using the buttons on the front right of the keyboard tray:
Two catalog search computers are still located in the center of the library. One is a standard walk-up station, and one is optimized for patrons who prefer to sit and/or view a screen in large print. We hope to add a second seated catalog station in the future.
If you are interested in increasing the text size on this computer, click one of the icons to open a catalog or event page. At the top of the screen, you should see a button labeled "Text Size":
Click on the arrow to select a size, or click on the button itself to toggle between preset sizes.
Please let us know what you think about the changes (or suggest more improvements) in the comments below. Your feedback helps us become a better library!
Internet Explorer Found to Be Vulnerable
This past Saturday, Microsoft announced that a major vulnerability was found in all supported versions of its internet browser, Internet Explorer. Even if you know and follow the rules for surfing safely, you are still vulnerable. Microsoft has not yet released an update or "fix-it" to address the issue. The best (and easiest) way to protect yourself is to switch to a different internet browser, such as Mozilla Firefox, Google Chrome, or Opera. There are some software settings and downloads that can help increase the security of IE, but these may require more tech savvy than some people care to muster.
For more details about the vulnerability, along with suggestions for increasing the security of your Internet Explorer installation, check out this article at the blog "Krebs on Security."
What You Need to Know about the Heartbleed Bug
In case you haven't heard, a vulnerability dubbed "Heartbleed" has been discovered in the encryption protocol that many secure websites use. If you'd like a basic explanation of Heartbleed, The New Yorker did a great job of boiling it down. Early speculation on which sites were affected and how users can best protect themselves varied widely. Since the IT teams of individual organizations have had time to address the issue, we now have a clearer idea how to proceed.
The first step is to find out which sites you use that may be compromised and change your passwords at those sites. Mashable create a fantastic chart to help you with this. Keep in mind, this is by no means a complete list. If you login to sites that aren't on this list, check with each site to see if it is vulnerable and/or has addressed the problem. For instance, Key Bank was not on Mashable's list, but a quick visit to their website revealed that they do not use the vulnerable encryption software.
Of course, if you change your password but use that same new password at every site, you will remain vulnerable for other reasons. If you have trouble keeping track of passwords, you may want to consider using a password manager. For a guide to creating passwords, check out this guide from MakeUseOf.
Got questions? Let me know in the comments and I'll find answers.
Library Technology Update
Hi folks! It has been a very long time since I posted to this blog. I apologize for the neglect, but the good news is that I have been hard at work upgrading and improving the technology in the library. Here is a list of the latest improvements:
- The new public computers have been rolled out and we have been tweaking them for a few months. Most of the bugs are worked out, but we are still experiencing some minor issues with video optimization. Hopefully, we can correct that soon.
- All of the staff computers have been upgraded.
- I am in the process of upgrading the catalog computers and a few other service computers.
- Our website security was compromised…twice! (No worries – patron information does not live on that server, so only our webpages were affected.) Fortunately, the Library was already deep in a website upgrade process. Originally, the reason for the update was twofold – platform security and responsive design. More on responsive design in the next bullet.
- Currently, the Library maintains separate websites for desktops and mobile devices. In order to design a single website that will look good and perform well on a variety of devices, we decided to create a responsive website. This means the site layout will be modified based on the screen size of the device viewing it. The plan was to release the new site this month, but we want to ensure its security first.
- A large screen monitor will be installed near the library entrance which will scroll announcements and events.
- This year, our public copier will be upgraded in response to feedback about the current copier.
- The Library acquired a new, more portable large print reader for patrons to use within the library. Visit the Reference Desk for more information.
- Thanks to a generous grant from the Friends of the Library, two new tablets will be ordered to facilitate training our staff to assist patrons with the latest portable devices.
- After six months of use, an evaluation of the Ask Us 24/7 chat system led to the conclusion that not enough patrons participated in the service to justify continuing the subscription.
Those are the highlights from the last few months. My Evernote account has become stuffed with things to blog about since I have been away. I plan to start publishing regular posts again to get that info out to you. In the meantime, let me know in the comments area if you have any questions or technology subjects you would like me to write about in the future.
iOS 7 Upgrade Causes Issues with OverDrive Media Console
If you have an iOS device, chances are good that you have already or will soon be upgrading to iOS 7. Unfortunately for OverDrive users, the upgrade caused a hiccup that kept users from accessing their books in the OverDrive Media Console app. The good news is, OverDrive released a simple fix almost immediately. They suggest uninstalling and reinstalling the OverDrive app and re-authorizing it with your Adobe ID. It is important to note that uninstalling will clear your bookshelf, settings and history. Any items checked out to you can be downloaded again by logging into your OverDrive account's bookshelf. To login, open the app and select "Get Books." Click on the account icon and enter you library card number:
For more information about this issue, please see OverDrive's blog post on the subject.


text:
france calls scotland Ecosse
france calls england Les Wankers
france calls england Les Wankers
by Ped the Ned May 30, 2006
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December 2014
Breaking News -All of the Black Eagles have landed
Perfect for this time of the year, perfect for Christmas
Believe it or not, Christmas starts now. Real Deals just for you or your loved ones
Thanet Tool Supplies is proud to be a genuine brick-and-mortar store
providing what can't be found on-line and then eventually putting it on-line
providing what can't be found on-line and then eventually putting it on-line
We do stock as much as we possibly can in the Ashford store
although we admit that occasionally we may not have exactly what you need (sorry), but
don't worry, Kristien now travels between Birmingham, our new warehouse in Leicester and Ashford
four times a week getting any of your requirements to our store from both warehouses
Don't forget the Ashford store is open
7.00am to 5.30pm Monday to Friday
& 8.00am to 4.00pm now on Saturday
& 8.00am to 4.00pm now on Saturday
Like us on Facebook
shhh, don't tell everyone that we are still the County of Kents best kept secret
Thanet Tool Supplies ... The Tool Squad
15.08.2014 - Important note regarding deliveries to the following postcodes:
The above postcodes will now incur an additional £5 carriage surcharge with immediate effect
Thanet Tool Supplies are one of the most progressive and largest online suppliers of Hand Tools, Power Tools, Workwear and PPE in the UK. "It's all about service" is our motto. Thanet Tool Supplies are a major distributor for all the leading Hand Tool and Power Tool Brands including Dewalt, Thanet Tool Supplies are one of the most progressive and largest online suppliers of Hand Tools, Power Tools, Workwear and PPE in the UK. "It's all about service" is our motto. Thanet Tool Supplies are a major distributor for all the leading Hand Tool and Power Tool Brands including Dewalt, Makita, Bosch, Hitachi, Millwaukee, Panasonic, Fein, Metabo, Ryobi, AEG Power Tools, Black & Decker, Stanley, Bahco, Irwin Tools, Jack, Marshalltown, Knipex, Draper, Sealey, Silverline, Wiss, Faithfull, Stabilla, Estwing, Britool, Gedore and many, many more. Workwear brands include Dickies, Snickers, Amblers, Herok, Apache, Scan. Oh and we still sell Japanese Woodworking Tools and Japanese Saws. Thanet Tool Supplies Head Office is based in Ashford, Kent where industries supplied include; Railway, Manufacturing, Engineering, Construction, Maintenance, Schools, Colleges along with thousands of DIY customers across the UK and Europe. With distribution warehouses based in Birmingham and Leicester, Thanet Tool Supplies are able to supply over 80,000 products including Hand Tools, Power Tools, Power Tool Accessories, Drill Bits, Holesaws, Garden Tools, Hardware, Abrasives Sealants & Lubricants, Workwear, PPE Leisure Products and Ladders, Safety Signs, Welding, and much more. If you cannot find the product you need please call 01233 501010 and we would be delighted to help you. London, Birmingham, Leeds, Glasgow, Sheffield, Bradford, Edinburgh, Liverpool, Manchester, Bristol, Wakefield, Cardiff, Coventry, Nottingham, Leicester, Sunderland, Belfast, Newcastle upon Tyne, Brighton, Hull, Plymouth, Stoke-on-Trent, Wolverhampton, Derby, Swansea, Southampton, Salford, Aberdeen, Westminster, Portsmouth, York, Peterborough, Dundee, Lancaster, Oxford, Newport, Preston, St Albans, Norwich, Chester, Cambridge, Salisbury, Exeter, Gloucester, Lisburn, Chichester, Winchester, Londonderry, Carlisle, Worcester, Bath, Durham, Lincoln, Hereford, Armagh, Inverness, Stirling, Canterbury, Lichfield, Newry, Ripon, Bangor, Truro, Ely, Wells, St. Davids, Scotland, Mersey, Kent, South East, Folkestone, Dover, Ashford, Maidstone, Margate, Broadstairs, Lakeside, Bluewater, Kent County Showground, ToolFair2013, ToolFair2014, Toolfair2015, ToolFair, Harrogate, Manchester, Exeter, Coventry, Sandown Park, Tenterden, M25 corridor, M20, M2, Faversham, Sittingbourne, Medway, Rochester, Gillingham, Chatham. christmas gifts christmas ideas real deal real deals
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text:
The Act of playing tennis with your penis.
It hurts to much to play Sinnep, Lets play Pennis
Por Dr. Pennis 05 de noviembre de 2010
Pennis (pronounced pin-iss) is a shorter version of a penis, as indicated by a short E sound, as opposed to the long E.
Man, I'd totally rock that chick's world, if I didn't have this damned pennis. Guess I'll have to make due, though...BARTENDER! Send that girl 26 shots of Jager, quick like a bunny!
Por Madfat 24 de agosto de 2007
The plural form of pennis
Do you know how many penni fucked me last night
Por Lil Jon's girl 03 de mayo de 2005
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