PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tao Huang, Fang Yu.

Title:: Large time blow up for a perturbation of the cubic Szegő equation
Seminar:Complex Fluids Seminar
Speaker:Haiyan Xu, University Paris-Sud 11
Abstract:
I am going to discuss a pertubed cubic Szegő equation i u_t = Pi (|u|^2u) + α (u|1) on the circle, where Pi is the Szegő projector on non-negative frequencies. This equation with α=0 was recently introduced as a toy model for totally non dispersive evolution equations by P. Gerard (Paris-Sud University, Orsay, France) and S. Grellier (University of Orleans, France). It is globally well-posed with a Lax pair structure for any real number α. Given initial data in a special subset of rational functions, the solutions stay in a relatively compact subset of trajectories for α<0. While for α> 0, there exist trajectories on which high Sobolev norms exponentially grow with time.

Room Reservation Information

Room Number:MB106
Date:08 / 18 / 2014
Time:10:00am - 11:30am