On the stability of swelling porous elastic soils with fluid saturation by one internal damping
文献类型：期刊论文
| 作者 | Wang, Jun-Min; Guo, Bao-Zhu
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2006-08-01 |
| 卷号 | 71期号:4页码:565-582 |
| 关键词 | stabilization swelling porous elastic soils damping spectral analysis Riesz basis |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hx1009 |
| 英文摘要 | This article addressed the stabilization of a system of 1D swelling porous elastic soils with fluid saturation. The system is described by strongly coupled vibrating fluid and solid elastic materials. Using Riesz basis approach, we show that the whole system can be exponentially stabilized by only one internal viscous damping with variable feedback gain imposed in the fluid part, which is sharp contrast with the same effect by two dampings in existing literature. Moreover, the explicit asymptotic expressions of high eigenfrequencies exhibit clearly how this one damping can affect the another part of solid vibration. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239902100006 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3932]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, Jun-Min |
| 作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Jun-Min,Guo, Bao-Zhu. On the stability of swelling porous elastic soils with fluid saturation by one internal damping[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2006,71(4):565-582. |
| APA | Wang, Jun-Min,&Guo, Bao-Zhu.(2006).On the stability of swelling porous elastic soils with fluid saturation by one internal damping.IMA JOURNAL OF APPLIED MATHEMATICS,71(4),565-582. |
| MLA | Wang, Jun-Min,et al."On the stability of swelling porous elastic soils with fluid saturation by one internal damping".IMA JOURNAL OF APPLIED MATHEMATICS 71.4(2006):565-582. |
入库方式： OAI收割
来源：数学与系统科学研究院
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