Global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions

doi:10.1016/j.jmaa.2015.09.043

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	Global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions
	Ma, Caochuan 1; Alsaedi, Ahmed 2; Hayat, Tasawar 2,3; Zhou, Yong 2,4
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2016-02-15
卷号	434 期号:2 页码:1035-1052
关键词	MHD-alpha Global regularity Partial viscosity
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2015.09.043
英文摘要	In this paper, we consider the global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions. We establish the global regularity of classical solutions for the MHD-alpha system with mixed partial dissipation and magnetic diffusion (nu(1) = 0, nu(2) > 0, eta(1) > 0, eta(2) = 0) or horizontal dissipation and horizontal magnetic diffusion (nu(1) > 0, nu(2) = 0, eta(1) > 0, eta(2) = 0). As alpha -> 0, the solution converges to that of the corresponding MHD equations. We also obtain the convergence rate of the limit as alpha -> 0 in L-2-norm. (C) 2015 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000374070800002
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1350]
专题	上海财经大学
通讯作者	Zhou, Yong
作者单位	1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China; 2.King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia; 3.Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan; 4.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Ma, Caochuan,Alsaedi, Ahmed,Hayat, Tasawar,et al. Global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,434(2):1035-1052.
APA	Ma, Caochuan,Alsaedi, Ahmed,Hayat, Tasawar,&Zhou, Yong.(2016).Global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,434(2),1035-1052.
MLA	Ma, Caochuan,et al."Global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 434.2(2016):1035-1052.