Energy decay rate of the wave-wave transmission system with Kelvin-Voigt damping

被引：0
|
作者：
Zhang, Hua-Lei [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China
[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期
关键词：
energy decay rate; Kelvin-Voigt damping; transmission; EXPONENTIAL STABILITY; ELASTIC-SYSTEMS; STABILIZATION; EQUATIONS;
D O I：
10.1002/mma.10041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the energy decay rate of the wave-wave transmission system with Kelvin-Voigt damping on a rectangular domain. The damping is imposed on one of wave equations. By the separation of variables method and the frequency domain method, we show that the optimal energy decay rate of the system is t-2/3$$ {t} circumflex {-2/3} $$, which is independent of wave speeds.
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页码：8721 / 8747
页数：27
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