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SUMMARY:Convergence in relative entropy for kinetic equations - Josephine 
 Evans (University of Cambridge)
DTSTART:20171025T150000Z
DTEND:20171025T160000Z
UID:TALK94168@talks.cam.ac.uk
CONTACT:Kasia Wyczesany
DESCRIPTION:I'm going to talk about convergence to equilibrium measured in
  relative entropy. I will discuss how to show convergence in relative entr
 opy for some simple equations found in kinetic theory. I will briefly disc
 uss the standard methods for proving convergence in relative entropy and a
 lso what happens when you introduce spatial inhomogeneity by adding a tran
 sport term. The problem of showing convergence to equilibrium for spatiall
 y inhomogeneous kinetic equations led Villani and others to introduce the 
 theory of hypocoercivity. Hopefully\, I will try and explain the problem t
 hat hypocoercivity seeks to solve and how to show convergence to equilibri
 um in some of these cases.
LOCATION:MR14\, Centre for Mathematical Sciences
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