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

This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dimensions without the neutral condition imposed on the initial perturbation. Our anal...

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Bibliographic Details
Published inScience China. Mathematics Vol. 57; no. 3; pp. 515 - 540
Main Authors Xiao, QingHua, Xiong, LinJie, Zhao, HuiJiang
Format Journal Article
LanguageEnglish
Published Heidelberg Science China Press 01.03.2014
Subjects
Applications of Mathematics
Cauchy problem
Cauchy问题
China
Construction
Energy methods
Estimates
Mathematical analysis
Mathematics
Mathematics and Statistics
Perturbation methods
中性条件
拉索
整体光滑解
松
玻尔
系统
麦克斯韦
Vlasov-Poisson-Boltzmann system
35F20
non-cutoff
time-weighted energy method
76P05
82C40
hard potentials
76X05
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Summary:This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile 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.
Bibliography:This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile 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.
Vlasov-Poisson-Boltznlann system, non-cutoff, hard potentials, time-weighted energy method
11-1787/N
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SourceType-Scholarly Journals-1
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ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-013-4712-z