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L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
Huang, Xiangdi1; Wang, Yun2
2016-09-30
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Volume39Issue:14Pages:4234-4245
AbstractThe 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.
Keywordfull compressible magnetohydrodynamic system blow-up criterion zero resistivity criterion vacuum
DOI10.1002/mma.3860
Language英语
Funding ProjectAcademy of Mathematics and Systems Science, CAS[2014-cjrwlzx-hxd] ; NSFC[11471321] ; NSFC[11371064] ; NSFC[11301365] ; NSFC[11371269]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000384079700022
PublisherWILEY-BLACKWELL
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23617
Collection数学所
Corresponding AuthorWang, Yun
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
2.Soochow Univ, Dept Math, 1 Shizi St, Suzhou 215006, Peoples R China
Recommended Citation
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.
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