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SUMMARY:Global strong solution and decay of Vlasov-Poisson-Boltzmann in bo
 unded domains - Donghyun Lee\, Univ. Wisconsin-Madison
DTSTART:20171002T130000Z
DTEND:20171002T140000Z
UID:TALK78141@talks.cam.ac.uk
CONTACT:Ariane Trescases
DESCRIPTION:When dilute charged particles are confined in a bounded domain
 \, boundary effects are crucial for dynamics of particles which can be mod
 eled by the Vlasov-Poisson-Boltzmann system. Considering a diffuse boundar
 y condition\, we construct a unique global-in-time solution in convex doma
 ins. This construction is based on L2 - L\\infty framework with a new weig
 hted W{1\,p} estimate of distribution functions and C{2\,\\alpha}-estimate
  of self-consistent electric potentials. Furthermore we prove an exponenti
 al convergence of distribution functions toward a global Maxwellian.
LOCATION:CMS\, MR13
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