Dans cette Note on étudie la stabilisation d'un système de la thermoélasticité anisotrope linéaire avec condition (naturelle) de Neumann sur une partie du bord, à l'aide de feedbacks non linéaires, l'un interne et/ou l'autre frontière. La démarche utilisée consiste à montrer la stabilisation exponentielle du système linéaire en établissant une inégalité intégrale, obtenue par la technique de Bey et al. [E.J.D.E. 78 (2001) 1–23] ; la stabilisation du système non linéaire s'en déduit grâce aux résultats de Nicaise [Rendiconti Di Matematica, Ser. VII 23 (2003) 83–116].
In this Note we study the stabilization of an anisotropic thermoelasticity system with (natural) Neumann boundary condition and nonlinear internal and/or boundary feedbacks. Our method consists of showing the exponential stability of the linear system by using an integral inequality, obtained by the technique of Bey et al. [E.J.D.E. 78 (2001) 1–23]; the stabilisation of the nonlinear system is deduced owing to the results from Nicaise [Rendiconti Di Matematica, Ser. VII 23 (2003) 83–116].
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@article{CRMATH_2004__339_8_561_0,
author = {Heminna, Amar and Nicaise, Serge and Sene, Abdoulaye},
title = {Stabilisation d'un syst\`eme de la thermo\'elasticit\'e anisotrope avec feedbacks non lin\'eaires},
journal = {Comptes Rendus. Math\'ematique},
pages = {561--566},
publisher = {Elsevier},
volume = {339},
number = {8},
year = {2004},
doi = {10.1016/j.crma.2004.08.008},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.08.008/}
}
TY - JOUR AU - Heminna, Amar AU - Nicaise, Serge AU - Sene, Abdoulaye TI - Stabilisation d'un système de la thermoélasticité anisotrope avec feedbacks non linéaires JO - Comptes Rendus. Mathématique PY - 2004 SP - 561 EP - 566 VL - 339 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.08.008/ DO - 10.1016/j.crma.2004.08.008 LA - fr ID - CRMATH_2004__339_8_561_0 ER -
%0 Journal Article %A Heminna, Amar %A Nicaise, Serge %A Sene, Abdoulaye %T Stabilisation d'un système de la thermoélasticité anisotrope avec feedbacks non linéaires %J Comptes Rendus. Mathématique %D 2004 %P 561-566 %V 339 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.08.008/ %R 10.1016/j.crma.2004.08.008 %G fr %F CRMATH_2004__339_8_561_0
Heminna, Amar; Nicaise, Serge; Sene, Abdoulaye. Stabilisation d'un système de la thermoélasticité anisotrope avec feedbacks non linéaires. Comptes Rendus. Mathématique, Tome 339 (2004) no. 8, pp. 561-566. doi : 10.1016/j.crma.2004.08.008. http://www.numdam.org/articles/10.1016/j.crma.2004.08.008/
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