On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum

doi:10.1007/s00033-018-0915-z

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	On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum
	Song, Sisi 1,2
	2018-04-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	69 期号:2 页码:27
摘要	This paper concerns the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum on Omega subset of R-3. The domain Omega subset of R-3 is a general connected smooth one, either bounded or unbounded. In particular, the initial density can have compact support when Omega is unbounded. First, we obtain the local existence and uniqueness of strong solution to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations without any compatibility condition assumed on the initial data. Then, we also prove the continuous dependence of strong solution on the initial data under an additional compatibility condition.
关键词	Incompressible magnetohydrodynamic equations Density-dependent viscosity Vacuum Strong solutions
DOI	10.1007/s00033-018-0915-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000428112300003
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29869
专题	中国科学院数学与系统科学研究院
通讯作者	Song, Sisi
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Song, Sisi. On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2018,69(2):27.
APA	Song, Sisi.(2018).On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,69(2),27.
MLA	Song, Sisi."On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 69.2(2018):27.