EVENTUAL DIFFERENTIABILITY OF COUPLED WAVE EQUATIONS WITH LOCAL KELVIN-VOIGT DAMPING

被引：0
|
作者：
Bchatnia, Ahmed [1 ]
Souayeh, Nadia [2 ]
机构：
[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, El Manar 2092 2, Tunisia
[2] Univ Monastir, Fac Sci Monastir, Dept Math, LR Anal & Control PDEs, LR22ES03, Monastir, Tunisia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 06期
关键词：
Differentiability; coupled wave equations; Kelvin-Voigt damping; STABILIZATION;
D O I：
10.3934/dcdss.2022098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider a coupled wave equations with partially and locally distributed Kelvin-Voigt damping, where only one equation is dissipative. Under the assumption that the damping coefficient changes smoothly near the interface of the damped and undamped regions, we investigate the effectiveness of the indirect control, and we prove that the associated semigroup is eventually differential.
引用
收藏
页码：1317 / 1338
页数：22
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