PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Kris Jenssen, Hope Shaffer, Yuxi Zheng.

Title:Quasilinear dynamics in nonlinear Schroedinger equations
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Vadim Zharnitsky, University of Illinois at Urbana-Champaign
Abstract:
We describe a new scenario of an almost linear behavior in strongly nonlinear systems. This phenomenon is demonstrated for the cubic one dimensional nonlinear Schroedinger equation with periodic boundary conditions, where we have nearly complete understanding of the phenomenon. The nonlinearity gets ``averaged out'' by the high frequency solutions and this leads to an averaging type theorem for PDEs. We will also briefly discuss the application of this phenomenon in the field of nonlinear optics. This is joint work with M. Burak Erdogan.

Room Reservation Information

Room Number:MB106
Date:12 / 12 / 2008
Time:03:35pm - 04:25pm