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SUMMARY:Long time behaviour for the granular media equation  - François B
 olley (University Paris Dauphine) 
DTSTART:20130619T095000Z
DTEND:20130619T104000Z
UID:TALK45885@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The granular media equation is a non linear Fokker-Planck type
  equation\, derived from the Boltzmann equation\, which models the evoluti
 on of a set of particles subject to almost elastic collisions. Studying th
 e long time behaviour of its solutions has recently raised much attention\
 , by entropy dissipation techniques\, based on its interpretation as a gra
 dient flow in the space of probability measures\, or by contraction proper
 ties in Wasserstein distance\, also linked with the optimal transport prob
 lem. We will review these results\, and present a new method\, based on es
 timating the dissipation of this distance along the flow: this method enab
 les to cover the physically relevant potentials and can hopefully be usefu
 l for other models. This is joint work with I. Gentil (Lyon) and A. Guilli
 n (Clermont-Ferrand). 
LOCATION:MR12
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