Regularity criteria for the three-dimensional magnetohydrodynamic equations

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	Regularity criteria for the three-dimensional magnetohydrodynamic equations
	Fan, Jishan ; Li, Fucai ; Nakamura, Gen ; Tan, Zhong ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1016/j.jde.2014.01.021
	2014-04-15
关键词	NAVIER-STOKES EQUATIONS BLOW-UP INEQUALITIES DENSITY SPACES
英文摘要	NSFC [11171154, 11271184, 11271305, 10976026]; PAPD; Fundamental Research Funds for the Central Universities; [NCET-11-0227]; This paper studies the three-dimensional density-dependent incompressible magnetohydrodynamic equations. First, a regularity criterion is proved which allows the initial density to contain vacuum. Then we establish another blow-up criterion in the Besov space (B) over dot(infinity,2)(0) when the positive initial density is bounded away from zero. Third, we prove a global nonexistence result for initial density with high decreasing at infinity. Fourth, we obtain a regularity criterion to the density-dependent incompressible magnetohydrodynamic equations in a bounded domain. Finally, we also give some remarks on the regularity criteria for the three-dimensional full compressible magnetohydrodynamic equations in a bounded domain and for the incompressible homogeneous magnetohydrodynamic equation in the whole space R-3. (C) 2014 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91349]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Fan, Jishan,Li, Fucai,Nakamura, Gen,et al. Regularity criteria for the three-dimensional magnetohydrodynamic equations[J]. http://dx.doi.org/10.1016/j.jde.2014.01.021,2014.
APA	Fan, Jishan,Li, Fucai,Nakamura, Gen,Tan, Zhong,&谭忠.(2014).Regularity criteria for the three-dimensional magnetohydrodynamic equations.http://dx.doi.org/10.1016/j.jde.2014.01.021.
MLA	Fan, Jishan,et al."Regularity criteria for the three-dimensional magnetohydrodynamic equations".http://dx.doi.org/10.1016/j.jde.2014.01.021 (2014).