Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks
文献类型：期刊论文
| 作者 | Li, HL; Pan, RH |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2000-12-01 |
| 卷号 | 252期号:1页码:298-324 |
| 关键词 | piecewise smooth solution viscoelasticity matched asymptotic analysis zero relaxation limit |
| ISSN号 | 0022-247X |
| 英文摘要 | We study a rate-type viscoelastic system proposed in I. Suliciu (Int. J. Engng. Sci. 28 (1990), 827-841), which is a 3 x 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system converges to the well-known p-system formally. Zn the case that the solutions of the p-system are piecewise smooth, including finitely many noninteracting shock waves, we show that there exist smooth solutions for Suliciu's model which converge to those of the p-system strongly as the relaxation time goes to zero. The method used here is the so-called matched asymptotic analysis suggested in J. Goodman and Z. P. Xin (Arch. Ration. Mech. Anal. 121 (1992), 235-265), which includes two parts: the matched asymptotic expansion and stability analysis. (C) 2000 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000165829700017 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15129]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, HL |
| 作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, HL,Pan, RH. Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,252(1):298-324. |
| APA | Li, HL,&Pan, RH.(2000).Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,252(1),298-324. |
| MLA | Li, HL,et al."Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 252.1(2000):298-324. |
入库方式： OAI收割
来源：数学与系统科学研究院
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