STABILITY RESULTS OF A SINGULAR LOCAL INTERACTION ELASTIC/VISCOELASTIC COUPLED WAVE EQUATIONS WITH TIME DELAY

被引：17
作者：
Akil, Mohammad [1 ]
Badawi, Haidar [2 ]
Wehbe, Ali [3 ]
机构：
[1] Univ Savoie Mt Blanc, LAMA, Chambery, France
[2] Univ Polytech Hauts France, LAMAV, Valenciennes, France
[3] Lebanese Univ, Fac Sci, Khawarizmi Lab Math & Applicat KALMA, Hadath Beirut, Lebanon
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 09期
关键词：
Coupled wave equation; Kelvin-Voigt damping; time delay; strong stability; polynomial stability; frequency domain approach; BOUNDARY FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; POLYNOMIAL DECAY; ELASTIC-SYSTEMS; RESPECT;
D O I：
10.3934/cpaa.2021092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the stabilization of a locally coupled wave equations with non smooth localized viscoelastic damping of Kelvin-Voigt type and localized time delay. Using a general criteria of Arendt-Batty, we show the strong stability of our system in the absence of the compactness of the resolvent. Finally, using frequency domain approach combined with the multiplier method, we prove a polynomial energy decay rate of order t(-1).
引用
收藏
页码：2973 / 3010
页数：38
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