Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations

doi:10.3934/era.2022021

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	Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations
	Hao, Chengchun1,3 ; Luo, Tao 2
	2022
发表期刊	ELECTRONIC RESEARCH ARCHIVE
卷号	30 期号:2 页码:404-424
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.
关键词	free boundary problems incompressible ideal magnetohydrodynamics equations ill-posedness linearized problem well-posedness
DOI	10.3934/era.2022021
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000802224900001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61524
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.City Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.