On the Motion of Free Interface in Ideal Incompressible MHD
文献类型：期刊论文
| 作者 | Hao, Chengchun1,2,3
|
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2017-05-01 |
| 卷号 | 224期号:2页码:515-553 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-017-1082-7 |
| 英文摘要 | For the free boundary problem of the plasma-vacuum interface to 3D ideal incompressible magnetohydrodynamics, the a priori estimates of smooth solutions are proved in Sobolev norms by adopting a geometrical point of view and some quantities such as the second fundamental form and the velocity of the free interface are estimated. In the vacuum region, the magnetic fields are described by the div-curl system of pre-Maxwell dynamics, while at the interface the total pressure is continuous and the magnetic fields are tangential to the interface, but we do not need any restrictions on the size of the magnetic fields on the free interface. We introduce the "fictitious particle" endowed with a fictitious velocity field in vacuum to reformulate the problem to a fixed boundary problem under the Lagrangian coordinates. The L (2)-norms of any order covariant derivatives of the magnetic fields both in vacuum and on the boundaries are bounded in terms of initial data and the second fundamental forms of the free interface and the rigid wall. The estimates of the curl of the electric fields in vacuum are also obtained, which are also indispensable in elliptic estimates. |
| 语种 | 英语 |
| WOS记录号 | WOS:000395182500005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/225]  |
| 专题 | 数学所 |
| 通讯作者 | Hao, Chengchun |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hao, Chengchun. On the Motion of Free Interface in Ideal Incompressible MHD[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2017,224(2):515-553. |
| APA | Hao, Chengchun.(2017).On the Motion of Free Interface in Ideal Incompressible MHD.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,224(2),515-553. |
| MLA | Hao, Chengchun."On the Motion of Free Interface in Ideal Incompressible MHD".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 224.2(2017):515-553. |
入库方式： OAI收割
来源：数学与系统科学研究院
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