The Vlasov-Poisson-Boltzmann system in the whole space : The hard potential case

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)6356-6386
Journal / PublicationJournal of Differential Equations
Volume252
Issue number12
Online published6 Apr 2012
Publication statusPublished - 15 Jun 2012

Abstract

This paper is concerned with the Cauchy problem on the Vlasov-Poisson-Boltzmann system for hard potentials in the whole space. When the initial data is a small perturbation of a global Maxwellian, a satisfactory global existence theory of classical solutions to this problem, together with the corresponding temporal decay estimates on the global solutions, is established. Our analysis is based on time-decay properties of solutions and a new time-velocity weight function which is designed to control the large-velocity growth in the nonlinear term for the case of non-hard-sphere interactions. © 2012 Elsevier Inc.

Citation Format(s)

The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. / Duan, Renjun; Yang, Tong; Zhao, Huijiang.
In: Journal of Differential Equations, Vol. 252, No. 12, 15.06.2012, p. 6356-6386.

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