On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type
文献类型：期刊论文
| 作者 | Wang, Jun-Min; Guo, Bao-Zhu
|
| 刊名 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 344期号:2页码:75-96 |
| 关键词 | thermoelastic system Riesz basis stability partial differential equation system |
| ISSN号 | 0016-0032 |
| DOI | 10.1016/j.jfranklin.2005.10.003 |
| 英文摘要 | In this paper, we study the Riesz basis property of the generalized eigenfunctions of a one-dimensional hyperbolic system in the energy state space. This characterizes the dynamic behavior of the system, particularly the stability, in terms of its eigenfrequencies. This system is derived from a thermoelastic equation with memory type. The asymptotic expansions for eigenvalues and eigenfunctions are developed. It is shown that there is a sequence of generalized eigenfunctions, which forms a Riesz basis for the Hilbert state space. This deduces the spectrum-determined growth condition for the C-0-semigroup associated with the system, and as a consequence, the exponential stability of the system is concluded. (C) 2006 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000244920100001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4485]  |
| 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.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa |
| 推荐引用方式 GB/T 7714 | Wang, Jun-Min,Guo, Bao-Zhu. On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2007,344(2):75-96. |
| APA | Wang, Jun-Min,&Guo, Bao-Zhu.(2007).On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,344(2),75-96. |
| MLA | Wang, Jun-Min,et al."On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 344.2(2007):75-96. |
入库方式： OAI收割
来源：数学与系统科学研究院
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