- Series
- PDE Seminar
- Time
- Tuesday, January 19, 2010 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Michael I. Weinstein – Columbia University
- Organizer
- Zhiwu Lin
I will discuss the intermediate and long time dynamics
of solutions of the nonlinear Schroedinger - Gross Pitaevskii equation,
governing nonlinear dispersive waves in a spatially
non-homogeneous background.
In particular, we present results (with B. Ilan)
on solitons with frequencies near a spectral band edge associated
with periodic potential, and results (with Z. Gang) on large
time energy distribution in systems with multiple bound states.
Finally, we discuss how such results can inform strategies
for control of soliton-like states in optical and quantum systems.