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Spectral analysis of a wave equation with Kelvin-Voigt damping

文献类型：期刊论文

作者Guo, Bao-Zhu1,2; Wang, Jun-Min3; Zhang, Guo-Dong4
刊名ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
出版日期2010-04-01
卷号90期号:4页码:323-342
关键词Wave equation spectrum Kelvin-Voigt damping
ISSN号0044-2267
DOI10.1002/zamm.200900275
英文摘要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
资助项目Natural Science Foundation of China ; National Research Foundation of South Africa
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000276765800006
出版者WILEY-V C H VERLAG GMBH
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11097]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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