Nonlinear Waves Trimester - June Conference

Collection Nonlinear Waves Trimester - June Conference

Organizer(s) T. Duyckaerts, F. Merle, J. Szeftel

Date(s) 20/06/2016 - 24/06/2016

linked URL https://indico.math.cnrs.fr/event/892/overview

00:00:00 / 00:00:00

9 23

Long time dynamics of random data NLS and invariant measures

By Andrea Nahmod

In this talk we show how certain well posedness results that are not available using only deterministic techniques (eg. Fourier and harmonic analysis) can be obtained when introducing randomization in the set of initial data and using powerful but still classical tools from probability. These ideas go back to seminal work by J. Bourgain on the almost sure global well posedness and invariance of Gibbs measures for NLS and other dispersive PDE. After explaining some of these ideas , we describe in more detail some further ideas in recent probabilistic well posedness results for NLS (joint with G. Staffilani) and new work on the existence and uniqueness 3 of non-equilibrium in variant measures associated to resonant NLS (joint with Z. Hani, J. Mattingly, L. Rey-Bellet and G. Staffilani)

Information about the video

Date of recording 21/06/2016
Date of publication 04/07/2016
Institution IHES
Format MP4

Domain(s)

Analysis of PDEs

MSC codes

35Q55 NLS-like equations

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