A stability result for a memory-type Laminated-thermoelastic system with Maxwell-Cattaneo heat conduction

被引:20
作者
Mukiawa, Soh E. [1 ]
Apalara, Tijani A. [1 ]
Messaoudi, Salim A. [2 ,3 ]
机构
[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia
[2] Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
[3] KFUPM, Dept Math & Stat, Dhahran, Saudi Arabia
关键词
Finite speed; laminated beam; Maxwell-Cattaneo's law; optimal decay; thermoelasticity; thermomechanics; viscoelasticity; GENERAL DECAY; TIMOSHENKO SYSTEM; EXPONENTIAL STABILITY; BEAMS; STABILIZATION; RATES;
D O I
10.1080/01495739.2020.1785979
中图分类号
O414.1 [热力学];
学科分类号
摘要
The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell-Cattaneo's law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present some examples to illustrate our theoretical findings. These new results generalize and improve many results in the literature.
引用
收藏
页码:1437 / 1466
页数:30
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