Stabilisation frontière indirecte du système de Timoshenko

Maya Bassam; Denis Mercier; Serge Nicaise; Ali Wehbe

doi:10.1016/j.crma.2011.03.011

Analyse mathématique/Équations aux dérivées partielles

Stabilisation frontière indirecte du système de Timoshenko

Présenté par : Jean-Michel Bony

Maya Bassam ^1,² ; Denis Mercier ¹ ; Serge Nicaise ¹ ; Ali Wehbe ²

¹ Université de Valenciennes et du Hainaut Cambrésis, LAMAV, FR CNRS 2956, institut des sciences et techniques, 59313 Valenciennes cedex 9, France
² Université Libanaise, faculté des sciences 1 & Hadath, Beyrouth, Liban

Comptes Rendus. Mathématique, Volume 349 (2011) no. 7-8, pp. 379-384.

Résumé
Abstract

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.

Reçu le : 2010-09-22
Accepté le : 2011-03-11
Publié le : 2011-04-01

DOI : 10.1016/j.crma.2011.03.011

Affiliations des auteurs :

Maya Bassam ^{1, 2} ; Denis Mercier ¹ ; Serge Nicaise ¹ ; Ali Wehbe ²

¹ Université de Valenciennes et du Hainaut Cambrésis, LAMAV, FR CNRS 2956, institut des sciences et techniques, 59313 Valenciennes cedex 9, France
² Université Libanaise, faculté des sciences 1 & Hadath, Beyrouth, Liban

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     author = {Maya Bassam and Denis Mercier and Serge Nicaise and Ali Wehbe},
     title = {Stabilisation fronti\`ere indirecte du syst\`eme de {Timoshenko}},
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Maya Bassam; Denis Mercier; Serge Nicaise; Ali Wehbe. Stabilisation frontière indirecte du système de Timoshenko. Comptes Rendus. Mathématique, Volume 349 (2011) no. 7-8, pp. 379-384. doi : 10.1016/j.crma.2011.03.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.03.011/

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