Well-posedness and exponential stability of Timoshenko system of second sound with time-varying delay and forcing terms

被引：0
|
作者：
Khaldi O. [1 ]
Rahmoune A. [1 ]
Ouchenane D. [1 ]
Yazid F. [1 ]
机构：
[1] Laboratory of pure and applied mathematics, Amar Telidji University, Laghouat
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2024年 / 70卷 / 2期
关键词：
35B37; 35L55; 74D05; 93D15; 93D20; Exponential decay; Linear damping; Second sound; Thermoelasticity; Timoshenko;
D O I：
10.1007/s11565-023-00474-5
中图分类号：
学科分类号：
摘要：
As a continuity to the study by Ouchenane (Georgian Math J 21(4):475–489, 2014). We consider a nonlinear thermoelastic system of Timoshenko type with a time-varing delay and forcing term. We show the well-posedness of the system by using the semigroup theory, and we prove an exponential stability result under the usual assumption on the wave speed by the energy method. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2023.
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页码：331 / 358
页数：27
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