High order moment closure for Vlasov-Maxwell equations
文献类型：期刊论文
| 作者 | Di, Yana1,2,3; Kou, Zhenzhong3; Li, Ruo4,5 |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000355750900004 |
| 出版者 | HIGHER EDUCATION PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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