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	Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations
	Ren, Wei1; Wang, Yanqing2; Wu, Gang3
刊名	Communications in contemporary mathematics
	2016-12-01
卷号	18期号:6页码:38
关键词	Magnetohydrodynamics equations Suitable weak solutions Partial regularity
ISSN号	0219-1997
DOI	10.1142/s0219199716500188
通讯作者	Wang, yanqing(wangyanqing20056@gmail.com)
英文摘要	In this paper, we are concerned with the partial regularity of the suitable weak solutions to the fractional mhd equations in r-n for n = 2, 3. in comparison with the work of the 3d fractional navier-stokes equations obtained by tang and yu in [partial regularity of suitable weak solutions to the fractional navier-stokes equations, comm. math. phys. 334 (2015) 1455-1482], our results include their endpoint case alpha = 3/4 and the external force belongs to a more general parabolic morrey space. moreover, we prove some interior regularity criteria just via the scaled mixed norm of the velocity for the suitable weak solutions to the fractional mhd equations.
WOS关键词	NAVIER-STOKES EQUATIONS ; HYPER-DISSIPATION ; MHD EQUATIONS ; CRITERIA ; PROOF
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000384249100012
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2375074
专题	中国科学院大学
通讯作者	Wang, Yanqing
作者单位	1.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China 2.Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, 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	Ren, Wei,Wang, Yanqing,Wu, Gang. Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations[J]. Communications in contemporary mathematics,2016,18(6):38.
APA	Ren, Wei,Wang, Yanqing,&Wu, Gang.(2016).Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations.Communications in contemporary mathematics,18(6),38.
MLA	Ren, Wei,et al."Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations".Communications in contemporary mathematics 18.6(2016):38.

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