Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt

Kangsheng Liu; Bopeng Rao

doi:10.1016/j.crma.2004.09.029

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Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt
[Exponential stability for the wave equations with local Kelvin–Voigt damping.]

Presented by: Philippe G. Ciarlet

Kangsheng Liu ¹; Bopeng Rao ²

¹ Department of Applied Mathematics, Zhejiang University, Hangzhou, 310027, Chine
² Institut de recherche mathématique avancée, université Louis Pasteur de Strasbourg, 7, rue René-Descartes, 67084 Strasbourg cedex, France

Comptes Rendus. Mathématique, Volume 339 (2004) no. 11, pp. 769-774.

Abstract
Résumé

We consider the stability of wave equations with local viscoelastic damping distributed around the boundary of domain. We show that the energy of the system goes uniformly and exponentially to zero for all initial data of finite energy.

Nous considérons la stabilité des équations des ondes avec un amortissement visco-élastique distribué autour de la frontière du domaine. Nous montrons que l'énergie du système tend vers zéro uniformément et exponentiellement pour toute donnée initiale d'énergie finie.

Received: 2003-11-23
Accepted: 2004-09-27
Published online: 2004-11-11

DOI: 10.1016/j.crma.2004.09.029

Author's affiliations:

Kangsheng Liu ¹; Bopeng Rao ²

¹ Department of Applied Mathematics, Zhejiang University, Hangzhou, 310027, Chine
² Institut de recherche mathématique avancée, université Louis Pasteur de Strasbourg, 7, rue René-Descartes, 67084 Strasbourg cedex, France

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     author = {Kangsheng Liu and Bopeng Rao},
     title = {Stabilit\'e exponentielle des \'equations des ondes avec amortissement local de {Kelvin{\textendash}Voigt}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {769--774},
     publisher = {Elsevier},
     volume = {339},
     number = {11},
     year = {2004},
     doi = {10.1016/j.crma.2004.09.029},
     language = {fr},
}

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Kangsheng Liu; Bopeng Rao. Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt. Comptes Rendus. Mathématique, Volume 339 (2004) no. 11, pp. 769-774. doi : 10.1016/j.crma.2004.09.029. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.029/

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