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The stochastic Landau-Lifshitz equation

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

October 27, 2015 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Anne de Bouard (École Polytechnique)
Location: MSRI: Simons Auditorium
Tags/Keywords

  • micro-magnetics

  • stochastic PDE

  • ferromagnetism

  • temperature

  • white noise

  • Gibbs measure

  • weak solutions

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

14392
Abstract

We will review some recent results on the stochastic Landau-Lifshitz equation which models temperature effects on magnetization dynamics in micro-magnetism. The particularity of the model is the geometric constraint the magnetization is a unit vector — which makes the equation nonlinear. The associated stochastic partial differential equation, taking account of temperature effects, has known some recent improvements, from the point of view of mathematical analysis as well as numerical analysis, but still offers a lot of open problems
Supplements
24875?type=thumb de Bouard-Notes 96.6 KB application/pdf Download
24876?type=thumb de Bouard-Talk 21.7 MB application/pdf Download
Video/Audio Files

14392

H.264 Video 14392.mp4 316 MB video/mp4 rtsp://videos.msri.org/data/000/024/654/original/14392.mp4 Download
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