High order moment closure for Vlasov-Maxwell equations

doi:10.1007/s11464-015-0463-1

	High order moment closure for Vlasov-Maxwell equations
	Di, Yana 1,2,3; Kou, Zhenzhong 3; Li, Ruo 4,5
刊名	FRONTIERS OF MATHEMATICS IN CHINA
	2015-10-01
卷号	10 期号:5 页码:1087-1100
关键词	Moment closure Vlasov-Maxwell (VM) equations Boltzmann equation extended magnetohydrodynamics
ISSN号	1673-3452
DOI	10.1007/s11464-015-0463-1
英文摘要	The extended magnetohydrodynamic models are derived based on the moment closure of the Vlasov-Maxwell (VM) equations. We adopt the Grad type moment expansion which was firstly proposed for the Boltzmann equation. A new regularization method for the Grad's moment system was recently proposed to achieve the globally hyperbolicity so that the local well-posedness of the moment system is attained. For the VM equations, the moment expansion of the convection term is exactly the same as that in the Boltzmann equation, thus the new developed regularization applies. The moment expansion of the electromagnetic force term in the VM equations turns out to be a linear source term, which can preserve the conservative properties of the distribution function in the VM equations perfectly.
资助项目	National Magnetic Confinement Fusion Science Program[2011GB105003] ; National Natural Science Foundation of China[11271358] ; National Natural Science Foundation of China[11325102] ; National Natural Science Foundation of China[91330205] ; Sci-Tech Interdisciplinary Innovation and Cooperation Team Program of the Chinese Academy of Sciences
WOS研究方向	Mathematics
语种	英语
出版者	HIGHER EDUCATION PRESS
WOS记录号	WOS:000355750900004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19893]
专题	中国科学院数学与系统科学研究院
通讯作者	Di, Yana
作者单位	1.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Peking Univ, LMAM, HEDPS & CAPT, Beijing 100871, Peoples R China 5.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Di, Yana,Kou, Zhenzhong,Li, Ruo. High order moment closure for Vlasov-Maxwell equations[J]. FRONTIERS OF MATHEMATICS IN CHINA,2015,10(5):1087-1100.
APA	Di, Yana,Kou, Zhenzhong,&Li, Ruo.(2015).High order moment closure for Vlasov-Maxwell equations.FRONTIERS OF MATHEMATICS IN CHINA,10(5),1087-1100.
MLA	Di, Yana,et al."High order moment closure for Vlasov-Maxwell equations".FRONTIERS OF MATHEMATICS IN CHINA 10.5(2015):1087-1100.