High order moment closure for Vlasov-Maxwell equations

被引：4

作者：

Di, Yana ^{[1
,2
,3
]}

Kou, Zhenzhong ^{[3
]}

Li, Ruo ^{[4
,5
]}

机构：

[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

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2015年 / 10卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Moment closure; Vlasov-Maxwell (VM) equations; Boltzmann equation; extended magnetohydrodynamics; REGULARIZATION; SYSTEM; NUMBER; SCHEME;

D O I：

10.1007/s11464-015-0463-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1087 / 1100

页数：14

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