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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
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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 |
DOI | 10.1016/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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