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                    “Analytic and combinatorial aspects of the Non Linear

                                Schroedinger equation (NLS) on a torus “

 

        Date:

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 Wednesday, 20. May 2015

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 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.

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