STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
文献类型：期刊论文
| 作者 | Qin, Xiaohong1; Wang, Yi2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 41期号:5页码:2057-2087 |
| 关键词 | stability of wave patterns inflow problem full compressible Navier-Stokes equations |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/09075425X |
| 英文摘要 | The inflow problem of full compressible Navier-Stokes equations is considered on the half-line (0, +infinity). First, we give the existence (or nonexistence) of the boundary layer solution to the inflow problem when the right end state (rho(+), u(+), theta(+)) belongs to the subsonic, transonic, and supersonic regions, respectively. Then the asymptotic stability of not only the single contact wave but also the superposition of the subsonic boundary layer solution, the contact wave, and the rarefaction wave to the inflow problem are investigated under some smallness conditions. Note that the amplitude of the rarefaction wave is not necessarily small. The proofs are given by the elementary energy method. |
| 资助项目 | NSFC[10801128] ; Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277835100010 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7261]  |
| 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, Peoples R China 2.CAS, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin, Xiaohong,Wang, Yi. STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2009,41(5):2057-2087. |
| APA | Qin, Xiaohong,&Wang, Yi.(2009).STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,41(5),2057-2087. |
| MLA | Qin, Xiaohong,et al."STABILITY OF WAVE PATTERNS TO THE INFLOW PROBLEM OF FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 41.5(2009):2057-2087. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。