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Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains. (arXiv:1710.03851v1 [math.AP])

来源于:arXiv
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 $L^{2}$-$L^{\infty}$ framework with a new weighted $W^{1,p}$-estimate of distribution function and $C^{2}$-estimate of the self-consistent electric potential. Moreover we prove an exponential convergence of distribution function toward the global Maxwellian. 查看全文>>