Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)319-355
Journal / PublicationCommunications in Mathematical Physics
Volume301
Issue number2
Publication statusPublished - 2011

Abstract

The dynamics of charged dilute particles can be modeled by the two species Vlasov-Poisson-Boltzmann system when the particles interact through collisions in the self-induced electric field. By constructing the compensating function for multi-species particle system, the optimal time decay of global classical solutions to this system near a global Maxwellian is obtained through a refined energy method. © 2010 Springer-Verlag.