WELL-POSEDNESS OF AXIALLY SYMMETRIC INCOMPRESSIBLE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM UNDER THE NON-COLLINEARITY CONDITION

doi:10.3934/cpaa.2019029

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	WELL-POSEDNESS OF AXIALLY SYMMETRIC INCOMPRESSIBLE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM UNDER THE NON-COLLINEARITY CONDITION
	Gu, Xumin
刊名	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
	2019-03
卷号	18 期号:2 页码:569-602
关键词	MHD vacuum free boundary axially symmetric non-collinearity
ISSN号	1534-0392
DOI	10.3934/cpaa.2019029
英文摘要	We consider a free boundary problem for the axially symmetric incompressible ideal magnetohydrodynamic equations that describe the motion of the plasma in vacuum. Both the plasma magnetic field and vacuum magnetic field are tangent along the plasma-vacuum interface. Moreover, the vacuum magnetic field is composed in a non-simply connected domain and hence is non-trivial. Under the non-collinearity condition for the plasma and vacuum magnetic fields, we prove the local well-posedness of the problem in Sobolev spaces.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000446873800002
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/334]
专题	上海财经大学
通讯作者	Gu, Xumin
作者单位	Shanghai Univ Finance & Econ, Sch Math, Shanghai Ctr Math Sci, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Gu, Xumin. WELL-POSEDNESS OF AXIALLY SYMMETRIC INCOMPRESSIBLE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM UNDER THE NON-COLLINEARITY CONDITION[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2019,18(2):569-602.
APA	Gu, Xumin.(2019).WELL-POSEDNESS OF AXIALLY SYMMETRIC INCOMPRESSIBLE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM UNDER THE NON-COLLINEARITY CONDITION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,18(2),569-602.
MLA	Gu, Xumin."WELL-POSEDNESS OF AXIALLY SYMMETRIC INCOMPRESSIBLE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM UNDER THE NON-COLLINEARITY CONDITION".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 18.2(2019):569-602.