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On the regularity of weak solutions to the magnetohydrodynamic equations

文献类型:期刊论文

作者He, C; Xin, ZP
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2005-06-15
卷号213期号:2页码:235-254
关键词magnetohydrodynamics equations regularity criteria
ISSN号0022-0396
DOI10.1016/j.jde.2004.07.002
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000229653600001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/1369]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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