| L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity | |
Huang, Xiangdi1 ; Wang, Yun2
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| 2016-09-30 | |
| Source Publication | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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| ISSN | 0170-4214 |
| Volume | 39Issue:14Pages:4234-4245 |
| Abstract | 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. |
| Keyword | full compressible magnetohydrodynamic system blow-up criterion zero resistivity criterion vacuum |
| DOI | 10.1002/mma.3860 |
| Language | 英语 |
| Funding Project | Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-hxd] ; NSFC[11471321] ; NSFC[11371064] ; NSFC[11301365] ; NSFC[11371269] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000384079700022 |
| Publisher | WILEY-BLACKWELL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/23617 |
| Collection | 数学所 |
| Corresponding Author | Wang, Yun |
| Affiliation | 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 |
| 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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