Cauchy problem for the Vlasov-Poisson-Boltzmann system

doi:10.1007/s00205-006-0009-5

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	Cauchy problem for the Vlasov-Poisson-Boltzmann system
	Yang, Tong ; Yu, Hongjun ; Zhao, Huijiang
	2006-11-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	182 期号:3 页码:415-470
摘要	The dynamics of dilute electrons can be modelled by the fundamental Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisions in the self-consistent electric field. In this paper, it is shown that any smooth perturbation of a given global Maxwellian leads to a unique global-in-time classical solution when either the mean free path is small or the background charge density is large. Moreover, the solution converges to the global Maxwellian when time tends to infinity. The analysis combines the techniques used in the study of conservation laws with the decomposition of the Boltzmann equation introduced in [15, 17] by obtaining new entropy estimates for this physical model.
DOI	10.1007/s00205-006-0009-5
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000241997400003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2540
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Tong
作者单位	1.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 4.Waseda Univ, Sch Polit Sci & Econ, Tokyo 1698050, Japan
推荐引用方式 GB/T 7714	Yang, Tong,Yu, Hongjun,Zhao, Huijiang. Cauchy problem for the Vlasov-Poisson-Boltzmann system[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2006,182(3):415-470.
APA	Yang, Tong,Yu, Hongjun,&Zhao, Huijiang.(2006).Cauchy problem for the Vlasov-Poisson-Boltzmann system.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,182(3),415-470.
MLA	Yang, Tong,et al."Cauchy problem for the Vlasov-Poisson-Boltzmann system".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 182.3(2006):415-470.