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|
|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
|Date:||12 / 12 / 2008|
|Time:||03:35pm - 04:25pm|