Analysis and Applied Mathematics Seminar
Eduard Kirr
University of Illinois Urbana-Champaign
Coherent Structures and Dynamics in Hamiltonian PDE's
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.
Monday April 18, 2016 at 4:00 PM in SEO 636