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

文献类型：期刊论文

作者Huang, Xiangdi1; Wang, Yun2
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期2016-09-30
卷号39期号:14页码:4234-4245
关键词full compressible magnetohydrodynamic system blow-up criterion zero resistivity criterion vacuum
ISSN号0170-4214
DOI10.1002/mma.3860
英文摘要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.
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
语种英语
WOS记录号WOS:000384079700022
出版者WILEY-BLACKWELL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23616]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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