Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations

doi:10.1007/s10114-005-0774-3

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	Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations
	Hsiao, Ling ; Li, Fu Cai ; Wang, Shu
	2007-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:4 页码:761-768
摘要	In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative-entropy method.
关键词	Vlasov-Poisson-Boltzmann system Euler equations of the incompressible fluid relative-entropy method
DOI	10.1007/s10114-005-0774-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245235600019
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4439
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao, Ling
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 3.Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
推荐引用方式 GB/T 7714	Hsiao, Ling,Li, Fu Cai,Wang, Shu. Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(4):761-768.
APA	Hsiao, Ling,Li, Fu Cai,&Wang, Shu.(2007).Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(4),761-768.
MLA	Hsiao, Ling,et al."Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.4(2007):761-768.