Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system
文献类型：期刊论文
| 作者 | Hsiao, L; Pan, RH |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 1999-09-01 |
| 卷号 | 157期号:1页码:20-40 |
| 关键词 | zero relaxation limit centered rarefaction waves piecewise energy estimates characteristic analysis viscoelasticity |
| ISSN号 | 0022-0396 |
| 英文摘要 | We study a rate-type viscoelastic system proposed by I. Suliciu (1990, Internat. J. Engrg. Sci. 28, 827-841), which is a 3 x 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system convergences to the well-known p-system formally. In the case where: the initial data are the Riemann data such that the corresponding solutions of the p-system are centered rarefaction waves, we show that if the wave strength is suitably small, then the solution for the relaxation system exists globally in time and converges to the solution of the corresponding rarefaction waves uniformly as the relaxation time goes to zero, except for an initial layer. The jump discontinuities in the solutions are decaying exponentially fast as time tends to infinity. (C) 1999 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000082512100002 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14729]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hsiao, L |
| 作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hsiao, L,Pan, RH. Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,1999,157(1):20-40. |
| APA | Hsiao, L,&Pan, RH.(1999).Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system.JOURNAL OF DIFFERENTIAL EQUATIONS,157(1),20-40. |
| MLA | Hsiao, L,et al."Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system".JOURNAL OF DIFFERENTIAL EQUATIONS 157.1(1999):20-40. |
入库方式： OAI收割
来源：数学与系统科学研究院
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