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Self-focusing of nonlinear waves in a random medium.
Colloquium| Speaker: | G. Papanicolaou, Stanford |
| Location: | 693 Kerr |
| Start time: | Mon, May 17 1999, 4:10PM |
Description
I will discuss the focusing cubic Schroedinger
equation in three dimensions when there are random inhomogeneities
present. In the high frequency limit, nonlinear focusing has
to be regularized in some way and the random medium does it
so that a new stability condition emerges, related
to the variance identity of CSE in an unexpected way. I will also
show results of numerical solutions.