Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium

被引：0
|
作者：
Mansouri, Sabeur [1 ]
机构：
[1] Univ Monastir, LR 22ES03, LR Anal & Control PDEs, Dept Math,Fac Sci Monastir, Monastir, Tunisia
来源：
APPLICABLE ANALYSIS | 2024年 / 103卷 / 15期
关键词：
Uniform stabilization; semilinear wave equation; localized damping; Timoshenko system; WAVE-EQUATION; ENERGY DECAY; EXPONENTIAL STABILITY; EXACT CONTROLLABILITY; GLOBAL EXISTENCE; LAMINATED BEAMS; STABILIZATION; RATES;
D O I：
10.1080/00036811.2024.2319227
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a semilinear coupled Timoshenko beam and an elastodynamic system posed in an inhomogeneous one-dimensional medium subject to localized damping mechanisms acting in the three equations. We show uniform decay rates for the energy of the solutions of such a problem without assuming any restrictions on the non-constant coefficients. To establish these results, refined arguments of the Microlocal Analysis Theory are applied.
引用
收藏
页码：2808 / 2828
页数：21
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