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 journalNot applicablepeer-review

29 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)6356-6386
Journal / PublicationJournal of Differential Equations
Volume252
Issue number12
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.