Eduard Kirr : Coherent Structures and Dynamics in Hamiltonian PDE's

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

April 18, 2016, 4 p.m.

In

SEO 636

Abstract

Hamiltonian PDE's model a vast array of wave phenomena and, consequently, exhibit special solutions, called coherent structures, among which the solitary waves (solitons) are the best known examples. Despite great differences in the underlying physical models similar mathematical techniques are used to study the existence of coherent structures and their influence on the evolution of general solutions. I will review these methods and present a new approach capable of finding all coherent structures supported by a given Hamiltonian PDE and their stability properties.