Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
文献类型：期刊论文
| 作者 | Huang, FM ; Pan, RH
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006 |
| 卷号 | 220期号:1页码:207-233 |
| 关键词 | compressible enter equations porous medium asymptotic behavior damping mechanism compensated compactness |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2005.03.012 |
| 英文摘要 | The asymptotic behavior of solutions of the damped compressible Euler equations is conjectured to obey to the famous porous media equations (PMES). The previous works on this topic concern the case away from vacuum where the system is strictly hyperbolic. In present paper, we prove that the L-infinity entropy weak solution with vacuum, obtained by the compensated compactness theory, converges strongly in L-loc(p)(1 <= p <= infinity) space to the unique similarity solution of the related PME, as time goes to infinity. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233889300010 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3476]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Pan, RH |
| 作者单位 | 1.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA 2.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, FM,Pan, RH. Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,220(1):207-233. |
| APA | Huang, FM,&Pan, RH.(2006).Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum.JOURNAL OF DIFFERENTIAL EQUATIONS,220(1),207-233. |
| MLA | Huang, FM,et al."Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum".JOURNAL OF DIFFERENTIAL EQUATIONS 220.1(2006):207-233. |
入库方式： OAI收割
来源：数学与系统科学研究院
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