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Turbulent solutions of the nonlinear Schrœdinger equation: A link between the scattering theory and the Arnold diffusion

GFM seminar
FCUL, C6, room 6.2.33
2019-02-26 11:00 .. 12:00
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CMAFcIO/GFM seminar by Nikolay Tzvetkov (Université de Cergy-Pontoise)

We shall discuss a joint work with B. Pausader showing that for s>0, s≠1 there are global solutions of the 3d defocusing Nonlinear Schrœdinger equation with unbounded Hs orbits, in spite of the presence of conservation laws at s=0 and s=1. This shows an interesting rigidity property of the energy bound.