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Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
时间  Datetime
2018-07-17 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Yunbai CAO
单位  Affiliation
University of Wisconsin-Madison
邀请人  Host
Xiongfeng Yang
报告摘要  Abstract

When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the dynamics of particles. We construct a unique global-in-time solution to the Vlasov-Poisson-Boltzmann system in convex domains with the diffuse boundary condition. The construction is based on L^2 -L^∞ framework with a new weighted W^{1,p}-estimate of distribution function and C^{2,δ}-estimate of the self-consistent electric potential. Moreover we prove an exponential convergence of distribution function toward the global Maxwellian.