ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE
文献类型：期刊论文
| 作者 | Huang, Feimin1 ; Li, Jing1; Shi, Xiaoding2
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL SCIENCES
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 8期号:3页码:639-654 |
| 关键词 | Asymptotic behavior of solutions Navier-Stokes equations boundary layer rarefaction wave |
| ISSN号 | 1539-6746 |
| 英文摘要 | The one-dimensional motion of compressible viscous and heat-conductive fluid is investigated in the half space. By examining the sign of fluid velocity prescribed on the boundary, initial boundary value problems with Dirichlet type boundary conditions are classified into three cases: impermeable wall problem, inflow problem and outflow problem. In this paper, the asymptotic stability of the rarefaction wave, boundary layer solution, and their combination is established for both the impermeable wall problem and the inflow problem under some smallness conditions. The proof is given by an elementary energy method. |
| 资助项目 | JSPS ; ministry of Education, Science, Sports, and Culture of Japan[P-00269] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278450200002 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10035]  |
| 专题 | 应用数学研究所 数学所 |
| 通讯作者 | Huang, Feimin |
| 作者单位 | 1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Beijing Univ Technol & Chem, Dept Math, Grad Sch Sci, Beijing 100029, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Li, Jing,Shi, Xiaoding. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2010,8(3):639-654. |
| APA | Huang, Feimin,Li, Jing,&Shi, Xiaoding.(2010).ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE.COMMUNICATIONS IN MATHEMATICAL SCIENCES,8(3),639-654. |
| MLA | Huang, Feimin,et al."ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE".COMMUNICATIONS IN MATHEMATICAL SCIENCES 8.3(2010):639-654. |
入库方式： OAI收割
来源：数学与系统科学研究院
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