Global Attractors in Hyperbolic Hamiltonian Systems
Minisymposium at the 5th European Congress of Mathematics
 

 
Amsterdam, July 18, 2008

10:30 - 11:10      Vladimir Buslaev, St.Petersburg University
                             Generic scenario of the scattering for nonlinear wave equations
11:15 - 11:35      Scipio Cuccagna, DISMI, University of Modena and Reggio Emilia
                             On asymptotic stability of standing waves of nonlinear Schrödinger equations
11:40 - 12:00      Anatoli Merzon, Universidad Michoacana de S.Nicolás de Hidalgo
                             On scattering states in the nonlinear Lamb system

BREAK

13:30 - 13:50      Markus Kunze, Universität Duisburg-Essen
                             Radiation in classical particle systems
13:55 - 14:15      David Stuart, University of Cambridge
                             Vortices in a Chern-Simons-Schrödinger system
14:15 - 14:35      Andrew Comech, IITP, Russian Academy of Sciences
                             Global attraction to solitary waves in models based on the Klein-Gordon equation
14:40 - 15:00      Elena Kopylova, IITP, Russian Academy of Sciences
                             Scattering of solitons for Schrödinger equation coupled to a particle

OUTLINE

The minisymposium addresses the long-time asymptotic behaviour in nonlinear hyperbolic Hamiltonian systems. We focus on the local and global attraction to the set of solitary waves (or nonlinear eigenfunctions), $\psi(x,t)=\phi(x)e^{-i\omega t}$. Such solitary asymptotics represent one of the central questions of the nonlinear hyperbolic PDE theory and has deep relations to problems of classical and quantum Physics.

ORGANIZERS

Andrew Comech, comech@gmail.com, IITP, Russian Academy of Sciences, RUSSIA
Alexander Komech, alexander.komech@univie.ac.at, University of Vienna, AUSTRIA

INFORMATION FOR PARTICIPANTS