Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
文献类型：期刊论文
| 作者 | Huang, Feimin2 ; Qin, Xiaohong1
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2009-05-15 |
| 卷号 | 246期号:10页码:4077-4096 |
| 关键词 | Compressible Navier-Stokes equations Stability Boundary layer Rarefaction wave Urge perturbation |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2009.01.017 |
| 英文摘要 | In this paper, we investigate the large-time behavior of solutions to an outflow problem for compressible Navier-Stokes equations. In 2003, Kawashima, Nishibata and Zhu [S. Kawashima, S. Nishibata, R Zhu, Asymptotic stability of the stationary Solution to the compressible Navier-Stokes equations in the half space, Comm. Math. Phys. 240 (2003) 483-500] showed there exists a boundary layer (i.e., stationary solution) to the Outflow problem and the boundary layer is nonlinearly stable under small initial perturbation. In the present paper, we show that not only the boundary layer above but also the superposition of a boundary layer and a rarefaction wave are stable under large initial perturbation. The proofs are given by an elementary energy method. (C) 2009 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC-NSAF[10676037] ; 973 Program of China[2006CB805902] ; NUST |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265443900012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9153]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Qin, Xiaohong |
| 作者单位 | 1.Nanjing Univ Sci & Technol, Dept Math, Nanjing 210094, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Qin, Xiaohong. Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(10):4077-4096. |
| APA | Huang, Feimin,&Qin, Xiaohong.(2009).Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation.JOURNAL OF DIFFERENTIAL EQUATIONS,246(10),4077-4096. |
| MLA | Huang, Feimin,et al."Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation".JOURNAL OF DIFFERENTIAL EQUATIONS 246.10(2009):4077-4096. |
入库方式： OAI收割
来源：数学与系统科学研究院
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