The Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials

被引：21

作者：

Xiao QingHua ^{[1
]}

Xiong LinJie ^{[1
]}

Zhao HuiJiang ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Vlasov-Poisson-Boltzmann system; non-cutoff; hard potentials; time-weighted energy method; POWER INTERMOLECULAR POTENTIALS; WHOLE SPACE; CLASSICAL-SOLUTIONS; COLLISION OPERATOR; ANGULAR CUTOFF; EQUATION; DECAY;

D O I：

10.1007/s11425-013-4712-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of the Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dimensions without the neutral condition imposed on the initial perturbation. Our analysis is based on the time-weighted energy method and some delicate estimates.

引用

页码：515 / 540

页数：26

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