abbdd278_Es___Numerical_Methods_Seminar__TITLE
[DATE] 05/08/06 [SPEAKER] Nick Costanzino UNC [TITLE] 
Title: Traveling waves of the Ostrovsky equation and generalizations. Abstract: The Ostrovsky equation is a model for internal surface waves of the ocean which includes the Coriolis force. After a suitable rescaling, the Ostrovsky equation is similar to the regularized short pulse equation, which is a recently derived model for the propagation of short optical pulses in a fiber. We discuss the various aspects of traveling waves associated with these equations, including the existence and nonexistence of single bump traveling waves, the existence of an orbit-flip bifurcation, and the existence of multiple bump waves. The stability of these waves will also be discussed. This is joint work with Christopher Jones and Vahagn Manukian (UNC-Chapel Hill).
CCMA PDEs & Numerical Methods Seminar
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