Remarks on the regularity to 3-D ideal magnetohydrodynamic equations

doi:10.1007/s10114-003-0296-9

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	Remarks on the regularity to 3-D ideal magnetohydrodynamic equations
	Jiu, QS ; He, C
	2004-07-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:4 页码:695-708
摘要	In this paper we are interested in the sufficient conditions which guarantee the regularity of solutions of 3-D ideal magnetohydrodynamic equations in the arbitrary time interval [0,T]. Five sufficient conditions are given. Our results are motivated by two main ideas: one is to control the accumulation of vorticity alone; the other is to generalize the corresponding geometric conditions of 3-D Euler equations to 3-D ideal magnetohydrodynamic equations.
关键词	regular solutions ideal magnetohydrodynamic equations
DOI	10.1007/s10114-003-0296-9
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000223058900010
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/567
专题	中国科学院数学与系统科学研究院
通讯作者	Jiu, QS
作者单位	1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiu, QS,He, C. Remarks on the regularity to 3-D ideal magnetohydrodynamic equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(4):695-708.
APA	Jiu, QS,&He, C.(2004).Remarks on the regularity to 3-D ideal magnetohydrodynamic equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(4),695-708.
MLA	Jiu, QS,et al."Remarks on the regularity to 3-D ideal magnetohydrodynamic equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.4(2004):695-708.