Nonlinear Structures Arising in Dispersive Partial Differential Equations

A photo of a series of Bose-Einstein condensate solitons courtesy of the American Institute of Physics website and a team at Rice University.

Date: March 2-6 2009

Location: Applied Mathematics Institute, Wegelerstr. 10, Bonn

Abstract:

We will host a five day workshop on nonlinear dispersive equations. Specifically, we will look at existence, description, stability and scattering results for phenomenological objects resulting from nonlinear effects in dispersive PDE. Such objects include solitons, blow-up profiles, breathers, as well as other interesting objects existing for long times in the dynamics of an equation. Topics ranging from analytical descriptions to numerical simulations and asymptotics are all welcome aspects to the workshop.