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Random Versus Deterministic Approach in the Study of Wave and Dispersive Equations

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015

October 23, 2015 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Gigliola Staffilani (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • PDE

  • dispersive

  • wave equation

  • NLS equation

  • p-NLS equation

  • well-posedness

  • mass critical - energy critical scales

  • almost sure well-posedness

  • invariant Gibbs measure

  • supercritical exponent

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14383

Abstract

The point of this talk is to show how certain well-posedness results  that are not available using deterministic techniques involving Fourier and harmonic analysis 

can be obtained when introducing randomization in the set of initial data. Along the way I will also prove a certain “probabilistic propagation of regularity” for certain almost sure globally well-posed dispersive equations. This talk is based on joint work with A. Nahmod

Supplements
24944?type=thumb Staffilani_Notes 385 KB application/pdf Download
Video/Audio Files

14383

H.264 Video 14383.mp4 304 MB video/mp4 rtsp://videos.msri.org/data/000/024/631/original/14383.mp4 Download
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