PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Tai-Chia Lin, National Taiwan University
Abstract:
We study the orbital stability and instability of single-spike bound states of semi-classical nonlinear Schrodinger (NLS) equations with critical exponent, linear and nonlinear optical lattices (OLs). These equations may model two-dimensional Bose-Einstein condensates in linear and nonlinear OLs. When linear OLs are switched off, we derive the asymptotic expansion formulas and obtain necessary conditions for the orbital stability and instability of single-spike bound states, respectively. When linear OLs are turned on, we consider three different conditions of linear and nonlinear OLs to develop mathematical theorems which are most general on the orbital stability problem.

Room Reservation Information

Room Number:MB106
Date:02 / 20 / 2009
Time:03:35pm - 04:25pm