Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum | |
Gu, Xumin1; Lei, Zhen2,3 | |
刊名 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES |
2016-05 | |
卷号 | 105期号:5页码:662-723 |
关键词 | Euler-Poission Physical vacuum Well-posedness Two and three dimensions |
ISSN号 | 0021-7824 |
DOI | 10.1016/j.matpur.2015.11.010 |
英文摘要 | This paper is concerned with the three dimensional compressible Euler Poisson equations with moving physical vacuum boundary condition. This fluid system is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local existence of classical solutions for initial data in certain weighted Sobolev spaces is established in the case that the adiabatic index satisfies 1 < gamma < 3. (C) 2015 Elsevier Masson SAS. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000374598400002 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/1300] |
专题 | 上海财经大学 |
通讯作者 | Lei, Zhen |
作者单位 | 1.Shanghai Univ Finance & Econ, Dept Math, Shanghai 200433, Peoples R China; 2.Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China; 3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China |
推荐引用方式 GB/T 7714 | Gu, Xumin,Lei, Zhen. Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2016,105(5):662-723. |
APA | Gu, Xumin,&Lei, Zhen.(2016).Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,105(5),662-723. |
MLA | Gu, Xumin,et al."Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 105.5(2016):662-723. |
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