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SUMMARY:Hypocoercivity for some linear kinetic equations with a boundary -
  Frédéric Hérau (Nantes)
DTSTART:20120206T160000Z
DTEND:20120206T170000Z
UID:TALK34163@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:We consider the Fokker-Planck equation or the linear Boltzmann
  equation in a bounded domain with a possible external potential and with 
  specular reflexion conditions at the boundary. We show  existence and uni
 queness of a weak solution in weighted\nadapted spaces\,  and prove explic
 it exponential time decay to the equilibrium. Hypocoercivity estimates are
   a consequence of  coercivity of the collision part\,\ncoercivity in spac
 e variable of a Witten Laplacian\,\nand an explicit  "cross operator" mixi
 ng velocity and space variables. This is a joint work with D. Le Peutrec (
 Paris 11).
LOCATION:CMS\, MR15
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