High order moment closure for Vlasov-Maxwell equations

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	High order moment closure for Vlasov-Maxwell equations
	Di Yana 1; Kou Zhenzhong 2; Li Ruo 3
	2015-01-01
发表期刊	Frontiers of Mathematics in China
ISSN	1673-3452
卷号	10 期号:5 页码:1087
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19894
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院国家数学与交叉科学中心 2.中国科学院数学与系统科学研究院 3.北京大学
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.
APA	Di Yana,Kou Zhenzhong,&Li Ruo.(2015).High order moment closure for Vlasov-Maxwell equations.Frontiers of Mathematics in China,10(5),1087.
MLA	Di Yana,et al."High order moment closure for Vlasov-Maxwell equations".Frontiers of Mathematics in China 10.5(2015):1087.