On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type

doi:10.1016/j.jfranklin.2005.10.003

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	On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type
	Wang, Jun-Min ; Guo, Bao-Zhu
	2007-03-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	344 期号:2 页码:75-96
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.
关键词	thermoelastic system Riesz basis stability partial differential equation system
DOI	10.1016/j.jfranklin.2005.10.003
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000244920100001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4486
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.