Global strong solution and decay of Vlasov-Poisson-Boltzmann in bounded domains
- đ¤ Speaker: Donghyun Lee, Univ. Wisconsin-Madison
- đ Date & Time: Monday 02 October 2017, 14:00 - 15:00
- đ Venue: CMS, MR13
Abstract
When dilute charged particles are confined in a bounded domain, boundary effects are crucial for dynamics of particles which can be modeled by the Vlasov-Poisson-Boltzmann system. Considering a diffuse boundary condition, we construct a unique global-in-time solution in convex domains. This construction is based on L2 - L\infty framework with a new weighted W{1,p} estimate of distribution functions and C{2,\alpha}-estimate of self-consistent electric potentials. Furthermore we prove an exponential convergence of distribution functions toward a global Maxwellian.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Donghyun Lee, Univ. Wisconsin-Madison
Monday 02 October 2017, 14:00-15:00