Spectral analysis of a wave equation with Kelvin-Voigt damping

doi:10.1002/zamm.200900275

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	Spectral analysis of a wave equation with Kelvin-Voigt damping
	Guo, Bao-Zhu1,2 ; Wang, Jun-Min 3; Zhang, Guo-Dong 4
	2010-04-01
发表期刊	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN	0044-2267
卷号	90 期号:4 页码:323-342
摘要	A vibrating system with some kind of internal damping represents a distributed or passive control. In this article, a wave equation with clamped boundary conditions and internal Kelvin-Voigt damping is considered. It is shown that the spectrum of the system operator is composed of two parts: point spectrum and continuous spectrum. The point spectrum consists of isolated eigenvalues of finite algebraic multiplicity, and the continuous spectrum that is identical to the essential spectrum is an interval on the left real axis. The asymptotic behavior of eigenvalues is presented. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim
关键词	Wave equation spectrum Kelvin-Voigt damping
DOI	10.1002/zamm.200900275
语种	英语
资助项目	Natural Science Foundation of China ; National Research Foundation of South Africa
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000276765800006
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11098
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 4.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min,Zhang, Guo-Dong. Spectral analysis of a wave equation with Kelvin-Voigt damping[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2010,90(4):323-342.
APA	Guo, Bao-Zhu,Wang, Jun-Min,&Zhang, Guo-Dong.(2010).Spectral analysis of a wave equation with Kelvin-Voigt damping.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,90(4),323-342.
MLA	Guo, Bao-Zhu,et al."Spectral analysis of a wave equation with Kelvin-Voigt damping".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 90.4(2010):323-342.