On the regularity of weak solutions to the magnetohydrodynamic equations

doi:10.1016/j.jde.2004.07.002

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	On the regularity of weak solutions to the magnetohydrodynamic equations
	He, C ; Xin, ZP
	2005-06-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	213 期号:2 页码:235-254
摘要	In this paper, we study the regularity of weak solution to the incompressible magnetohydrodynamic equations. We obtain some sufficient conditions for regularity of weak solutions to the magnetohydrodynamic equations, which is similar to that of incompressible Navier-Stokes equations. Moreover, our results demonstrate that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solution to the magneto-hydrodynamic equations. (c) 2004 Elsevier Inc. All rights reserved.
关键词	magnetohydrodynamics equations regularity criteria
DOI	10.1016/j.jde.2004.07.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000229653600001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1370
专题	中国科学院数学与系统科学研究院
通讯作者	He, C
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	He, C,Xin, ZP. On the regularity of weak solutions to the magnetohydrodynamic equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2005,213(2):235-254.
APA	He, C,&Xin, ZP.(2005).On the regularity of weak solutions to the magnetohydrodynamic equations.JOURNAL OF DIFFERENTIAL EQUATIONS,213(2),235-254.
MLA	He, C,et al."On the regularity of weak solutions to the magnetohydrodynamic equations".JOURNAL OF DIFFERENTIAL EQUATIONS 213.2(2005):235-254.