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

页码：2808 / 2828

页数：21

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