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“Analytic and combinatorial
aspects of the Non Linear
Schroedinger
equation (NLS) on a torus “
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Date: |
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Time: |
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Wednesday, 20. May 2015 |
Audio-only-Recording as MP3-File
(smallest possible size):
- Audio.mp3 (ca.29 Mb) ============================================ Video-Recording for any system with MP4-support:
- Video.mp4 (ca.181 Mb) |
15:15 – 16:15 |
Abstract :
The
approach to the NLS on a torus is usually by perturbation theory starting from solutions involving some finite
set of
“excited frequencies”.
These form a finite set of points in a lattice which generate a
complicated combinatorial graph
describing interacting frequencies. The behaviour of the solutions depends on the combinatorics of this graph which
in turn
depends on the chosen initial points,
for generic choices one has quasi periodic solutions for special choices
different
types of behaviour.