Claudio Procesi: Analytic and combinatorial aspects of the Non Linear Schroedinger equation (NLS) on a torus
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Tid: On 2015-05-20 kl 15.15 - 16.15
Föreläsare: Claudio Procesi, Univ. di Roma, La Sapienza
Plats: Lecture hall Oskar Klein, Alba Nova
Schedule
14:15-15:00 Precolloquium by Danijela Damjanovic (Room FB51, Albanova)
15:15-16:15 Colloquium lecture by Claudio Procesi (Room Oskar Klein, Albanova)
16:15-17:00 SMC social get together with refreshments
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.