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.
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.
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@article{CRMATH_2004__339_11_769_0,
author = {Liu, Kangsheng and Rao, Bopeng},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.09.029/}
}
TY - JOUR AU - Liu, Kangsheng AU - Rao, Bopeng TI - Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt JO - Comptes Rendus. Mathématique PY - 2004 SP - 769 EP - 774 VL - 339 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.09.029/ DO - 10.1016/j.crma.2004.09.029 LA - fr ID - CRMATH_2004__339_11_769_0 ER -
%0 Journal Article %A Liu, Kangsheng %A Rao, Bopeng %T Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt %J Comptes Rendus. Mathématique %D 2004 %P 769-774 %V 339 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2004.09.029/ %R 10.1016/j.crma.2004.09.029 %G fr %F CRMATH_2004__339_11_769_0
Liu, Kangsheng; Rao, Bopeng. Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin–Voigt. Comptes Rendus. Mathématique, Tome 339 (2004) no. 11, pp. 769-774. doi : 10.1016/j.crma.2004.09.029. http://archive.numdam.org/articles/10.1016/j.crma.2004.09.029/
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