Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping

被引：0
|
作者：
A. Djebabla
N. Tatar
机构：
[1] University Badji Mokhtar,Laboratory of Applied Mathematics
[2] Department of Mathematics,undefined
[3] King Fahd University of Petroleum and Minerals,undefined
[4] Department of Mathematics and Statistics,undefined
来源：
Journal of Dynamical and Control Systems | 2010年 / 16卷
关键词：
Exponential stabilization; memory term; relaxation function; thermo-viscoelastic damping; Timoshenko system; 35B35; 35L53; 93C05; 93C20; 93D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the Timoshenko system without any internal or boundary damping. The system is rather complemented by a heat equation of an unusual type. This type of thermal diffusion has been introduced by Green and Naghdi. It produces a dissipation of energy only when supplemented by a certain type of damping. In this work we consider the case of a thermo-viscoelastic damping and prove that it is strong enough to drive the system to the equilibrium state in an exponential manner.
引用
收藏
页码：189 / 210
页数：21
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