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|
|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
|Date:||02 / 20 / 2009|
|Time:||03:35pm - 04:25pm|