Title: Model equations and structures formation for the media with memory,
Abstract: We propose new types of models of the appearance of small- and large scale
structures in media with memory, including a hyperbolic modification of the
Navier-Stokes equations and a class of dynamical low-dimensional models with
memory effects. On the basis of computer modeling, the formation of the
small-scale structures and collapses and the appearance of new chaotic
solutions are demonstrated. Possibilities of the application of some proposed
models to the description of the burst-type processes and collapses o nthe Sun
are discussed.