On global existence, energy decay and blow-up criteria for the Hall-MHD system

doi:10.1016/j.jde.2015.07.013

CORC > 上海财经大学 > 上海财经大学

	On global existence, energy decay and blow-up criteria for the Hall-MHD system
	Wan, Renhui 1; Zhou, Yong 2,3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2015-12-05
卷号	259 期号:11 页码:5982-6008
关键词	Hall-MHD system Global well-posedness Energy decay Blow-up criteria
ISSN号	0022-0396
DOI	10.1016/j.jde.2015.07.013
英文摘要	In this paper, we obtain global existence and energy decay for 3D Hall-magnetohydrodynamics (Hall-MHD) system with Ait and AB. Besides the classical energy method and Besov space techniques, the interpolating inequalities are crucial in the proof of decay estimates. Then two Osgood type blow-up criteria are established. Our results improve the corresponding theorems in 3 and M. In addition, we establish two Beale Kato Majda blow-up criterion for the generalized version of Hall-MHD with -Delta u and (-Delta)beta B, beta>1. (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:000367755900017
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1411]
专题	上海财经大学
通讯作者	Zhou, Yong
作者单位	1.Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 3.King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
推荐引用方式 GB/T 7714	Wan, Renhui,Zhou, Yong. On global existence, energy decay and blow-up criteria for the Hall-MHD system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2015,259(11):5982-6008.
APA	Wan, Renhui,&Zhou, Yong.(2015).On global existence, energy decay and blow-up criteria for the Hall-MHD system.JOURNAL OF DIFFERENTIAL EQUATIONS,259(11),5982-6008.
MLA	Wan, Renhui,et al."On global existence, energy decay and blow-up criteria for the Hall-MHD system".JOURNAL OF DIFFERENTIAL EQUATIONS 259.11(2015):5982-6008.