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SUMMARY:Convergence to equilibrium for degenerate kinetic equations - Fran
 cesco Salvarani (University of Pavia)
DTSTART:20130508T130000Z
DTEND:20130508T140000Z
UID:TALK45275@talks.cam.ac.uk
CONTACT:Prof. Clément Mouhot
DESCRIPTION:We study the decay to the equilibrium state for the solution o
 f the linear Boltzmann equation in the torus\, by allowing that the non-ne
 gative cross section can vanish in a subregion X of the domain\, with posi
 tive Lebesgue measure. We give a counterexample which shows that the asymp
 totic rate of convergence to equilibrium cannot be better than t^{-1/2} in
  the general case and identify the necessary and sufficient condition on X
  that guarantees the exponential decay to equilibrium.
LOCATION:CMS\, MR4
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