Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations
文献类型:期刊论文
作者 | Hao, Chengchun1,2![]() |
刊名 | ELECTRONIC RESEARCH ARCHIVE
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出版日期 | 2022 |
卷号 | 30期号:2页码:404-424 |
关键词 | free boundary problems incompressible ideal magnetohydrodynamics equations ill-posedness linearized problem well-posedness |
DOI | 10.3934/era.2022021 |
英文摘要 | We survey some recent results related to free boundary problems of incompressible ideal magnetohydrodynamics equations, and present the main ideas in the proofs of the ill-posedness in 2D when the Taylor sign condition is violated given [1], and the well-posedness of a linearized problem given in [2] in general n-dimensions (n. 2) when the Taylor sign condition is satisfied and the free boundaries are closed. |
资助项目 | National Natural Science Foundation of China[12171460] ; National Natural Science Foundation of China[11671384] ; K. C. Wong Education Foundation ; Research Grants Council of Hong Kong[11307420] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000802224900001 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61523] ![]() |
专题 | 数学所 |
通讯作者 | Luo, Tao |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, HLM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.City Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Hao, Chengchun,Luo, Tao. Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations[J]. ELECTRONIC RESEARCH ARCHIVE,2022,30(2):404-424. |
APA | Hao, Chengchun,&Luo, Tao.(2022).Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations.ELECTRONIC RESEARCH ARCHIVE,30(2),404-424. |
MLA | Hao, Chengchun,et al."Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations".ELECTRONIC RESEARCH ARCHIVE 30.2(2022):404-424. |
入库方式: OAI收割
来源:数学与系统科学研究院
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