Nous étudions la stabilité frontière indirecte du système de Timoshenko sous lʼaction dʼune seule loi de dissipation. Sous la condition dʼégalité des vitesses de propagation, nous établissons la stabilité exponentielle du système. Dans le cas contraire, nous montrons que le taux de décroissance est polynomial.
In this Note, we study the indirect boundary stabilization of the Timoshenko system with only one dissipation law. Under the equal speed wave propagation condition, we establish the exponential stability of the system. On the contrary, we show that the decay rate is polynomial.
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@article{CRMATH_2011__349_7-8_379_0,
author = {Bassam, Maya and Mercier, Denis and Nicaise, Serge and Wehbe, Ali},
title = {Stabilisation fronti\`ere indirecte du syst\`eme de {Timoshenko}},
journal = {Comptes Rendus. Math\'ematique},
pages = {379--384},
publisher = {Elsevier},
volume = {349},
number = {7-8},
year = {2011},
doi = {10.1016/j.crma.2011.03.011},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/j.crma.2011.03.011/}
}
TY - JOUR AU - Bassam, Maya AU - Mercier, Denis AU - Nicaise, Serge AU - Wehbe, Ali TI - Stabilisation frontière indirecte du système de Timoshenko JO - Comptes Rendus. Mathématique PY - 2011 SP - 379 EP - 384 VL - 349 IS - 7-8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2011.03.011/ DO - 10.1016/j.crma.2011.03.011 LA - fr ID - CRMATH_2011__349_7-8_379_0 ER -
%0 Journal Article %A Bassam, Maya %A Mercier, Denis %A Nicaise, Serge %A Wehbe, Ali %T Stabilisation frontière indirecte du système de Timoshenko %J Comptes Rendus. Mathématique %D 2011 %P 379-384 %V 349 %N 7-8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2011.03.011/ %R 10.1016/j.crma.2011.03.011 %G fr %F CRMATH_2011__349_7-8_379_0
Bassam, Maya; Mercier, Denis; Nicaise, Serge; Wehbe, Ali. Stabilisation frontière indirecte du système de Timoshenko. Comptes Rendus. Mathématique, Tome 349 (2011) no. 7-8, pp. 379-384. doi : 10.1016/j.crma.2011.03.011. http://www.numdam.org/articles/10.1016/j.crma.2011.03.011/
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