On the regularity criteria for weak solutions to the magnetohydrodynamic equations

doi:10.1016/j.jde.2007.03.023

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	On the regularity criteria for weak solutions to the magnetohydrodynamic equations
	He, Cheng; Wang, Yun
	2007-07-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	238 期号:1 页码:1-17
摘要	We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic equations. Some regularity criteria are obtained for weak solutions to the magnetohydrodynamic equations, which generalize the results in [C. He, Z. Xin, On the regularity of solutions to the magneto-hydrodynamic equations, J. Differential Equations 213 (2) (2005) 235-254]. Our results reveal that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. (C) 2007 Elsevier Inc. All rights reserved.
关键词	magnetohydrodynamics equations regularity criteria
DOI	10.1016/j.jde.2007.03.023
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000248093900001
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/5141
专题	中国科学院数学与系统科学研究院
通讯作者	He, Cheng
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, Cheng,Wang, Yun. On the regularity criteria for weak solutions to the magnetohydrodynamic equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2007,238(1):1-17.
APA	He, Cheng,&Wang, Yun.(2007).On the regularity criteria for weak solutions to the magnetohydrodynamic equations.JOURNAL OF DIFFERENTIAL EQUATIONS,238(1),1-17.
MLA	He, Cheng,et al."On the regularity criteria for weak solutions to the magnetohydrodynamic equations".JOURNAL OF DIFFERENTIAL EQUATIONS 238.1(2007):1-17.