Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System
文献类型：期刊论文
| 作者 | Huang, Feimin1,2 ; Li, Jing1,2,3; Matsumura, Akitaka3
|
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2010-07-01 |
| 卷号 | 197期号:1页码:89-116 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-009-0267-0 |
| 英文摘要 | We are concerned with the large-time behavior of solutions of the Cauchy problem to the one-dimensional compressible Navier-Stokes system for ideal polytropic fluids, where the far field states are prescribed. When the corresponding Riemann problem for the compressible Euler system admits the solution consisting of contact discontinuity and rarefaction waves, it is proved that for the one-dimensional compressible Navier-Stokes system, the combination wave of a "viscous contact wave", which corresponds to the contact discontinuity, with rarefaction waves is asymptotically stable, provided the strength of the combination wave is suitably small. This result is proved by using elementary energy methods. |
| 资助项目 | NSFC[10825102] ; NSFC[10471138] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; JSPS ; NNSFC[10601059] ; NNSFC[10971215] ; [19340037] |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277784700002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10884]  |
| 专题 | 应用数学研究所 数学所 |
| 通讯作者 | Huang, Feimin |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Li, Jing,Matsumura, Akitaka. Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2010,197(1):89-116. |
| APA | Huang, Feimin,Li, Jing,&Matsumura, Akitaka.(2010).Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,197(1),89-116. |
| MLA | Huang, Feimin,et al."Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 197.1(2010):89-116. |
入库方式： OAI收割
来源：数学与系统科学研究院
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