University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Turbulent solutions of the nonlinear Schrodinger equation : a link between the scattering theory and the Arnold diffusion

Turbulent solutions of the nonlinear Schrodinger equation : a link between the scattering theory and the Arnold diffusion

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  • UserNikolai Tzvetkov, Universit√© de Cergy-Pontoise, France
  • ClockMonday 26 November 2018, 16:30-17:30
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We shall discuss a joint work with B. Pausader showing that for $s>0$, $s\neq 1$ there are global solutions of the 3d defocusing Nonlinear Schrödinger equation with unbounded $H^s$ 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.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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