Rigorous results on semiclassical long-time focusing NLS
Speaker:
Stephanos Venakides, Duke University
Date and Time:
Tuesday, May 18, 2004 - 3:15pm to 4:00pm
Location:
Fields Institute, Room 230
Abstract:
We will outline some of our results on semiclassical focusing NLS that include the existence and properties of a first breaking (nonlinear caustic) curve on the space-time plane and the leading behavior of the solution. We will then introduce new results on the long time behavior of the semiclassical solution. This is joint work with Alex Tovbis and Xin Zhou.