STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY
文献类型：期刊论文
| 作者 | Huang Feimin ; Wang Yong; Zhai Xiaoyun
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 30期号:6页码:1906-1916 |
| 关键词 | Navier-Stokes equations contact discontinuity viscous contact wave |
| ISSN号 | 0252-9602 |
| 英文摘要 | In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a viscous contact wave which approximates to the contact discontinuity, which is a basic wave pattern of compressible Euler equation, in finite time as the heat conductivity tends to zero. Then we prove the viscous contact wave is asymptotic stable if the initial perturbations and the strength of the contact wave are small. This generalizes our previous result [6] which is only for polytropic gas. |
| 资助项目 | NSFC[10825102] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000284793000007 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9332]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang Yong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang Feimin,Wang Yong,Zhai Xiaoyun. STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J]. ACTA MATHEMATICA SCIENTIA,2010,30(6):1906-1916. |
| APA | Huang Feimin,Wang Yong,&Zhai Xiaoyun.(2010).STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY.ACTA MATHEMATICA SCIENTIA,30(6),1906-1916. |
| MLA | Huang Feimin,et al."STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY".ACTA MATHEMATICA SCIENTIA 30.6(2010):1906-1916. |
入库方式： OAI收割
来源：数学与系统科学研究院
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