Global strong solution and decay of Vlasov-Poisson-Boltzmann in bounded domains

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• Donghyun Lee, Univ. Wisconsin-Madison
• Monday 02 October 2017, 14:00-15:00
• CMS, MR13.

If you have a question about this talk, please contact Ariane Trescases.

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.

This talk is part of the Partial Differential Equations seminar series.

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