L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity

doi:10.1002/mma.3860

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	L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
	Huang, Xiangdi1 ; Wang, Yun 2
	2016-09-30
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	39 期号:14 页码:4234-4245
摘要	The aim of this paper is to establish a continuation principle for strong solutions to the full compressible magnetohydrodynamic system without resistivity and heat conductivity. We prove that if the solution loses its regularity in finite time, the dominated part is due to the hyperbolic effect. More precisely, it is essentially shown that the strong solution exists globally if the density, temperature, and magnetic field are bounded from above, where vacuum is allowed to exist. This verifies a problem proposed by D. Serre. Copyright (C) 2016 John Wiley & Sons, Ltd.
关键词	full compressible magnetohydrodynamic system blow-up criterion zero resistivity criterion vacuum
DOI	10.1002/mma.3860
语种	英语
资助项目	Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-hxd] ; NSFC[11471321] ; NSFC[11371064] ; NSFC[11301365] ; NSFC[11371269]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000384079700022
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23617
专题	数学所
通讯作者	Wang, Yun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Soochow Univ, Dept Math, 1 Shizi St, Suzhou 215006, Peoples R China
推荐引用方式 GB/T 7714	Huang, Xiangdi,Wang, Yun. L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2016,39(14):4234-4245.
APA	Huang, Xiangdi,&Wang, Yun.(2016).L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,39(14),4234-4245.
MLA	Huang, Xiangdi,et al."L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 39.14(2016):4234-4245.