Viscous shock wave to a gas-solid free boundary problem for compressible gas
文献类型：期刊论文
| 作者 | Huang, FM ; Matsumura, A; Shi, XD
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2004 |
| 卷号 | 36期号:2页码:498-522 |
| 关键词 | viscous shock wave gas-solid free boundary compressible gas |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/S003614100240943X |
| 英文摘要 | We continue to study the large time behavior of the solution to a gas-solid free boundary problem for a one-dimensional model system of compressible viscous gas proposed by us in [SIAM J. Math. Anal., 34 (2003), pp. 1331-1355], where the travelling wave and the rarefaction wave were investigated. In this paper we prove the asymptotic stability of the superposition of a travelling wave and a viscous shock wave under some smallness conditions. The asymptotic behavior of the free boundary is also obtained. The proof is given by the elementary energy estimate. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224119200008 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/860]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Huang, FM |
| 作者单位 | 1.Acad Sinica, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 2.Beijing Univ Technol & Chem, Grad Sch Sci, Dept Math, Beijing 100029, Peoples R China 3.Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600045, Japan |
| 推荐引用方式 GB/T 7714 | Huang, FM,Matsumura, A,Shi, XD. Viscous shock wave to a gas-solid free boundary problem for compressible gas[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2004,36(2):498-522. |
| APA | Huang, FM,Matsumura, A,&Shi, XD.(2004).Viscous shock wave to a gas-solid free boundary problem for compressible gas.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,36(2),498-522. |
| MLA | Huang, FM,et al."Viscous shock wave to a gas-solid free boundary problem for compressible gas".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 36.2(2004):498-522. |
入库方式： OAI收割
来源：数学与系统科学研究院
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