Exponential and Polynomial Decay in a Thermoelastic-Bresse System with Second Sound

被引：0
作者：
Ahmed A. Keddi
Tijani A. Apalara
Salim A. Messaoudi
机构：
[1] Djillali Liabes University,Department of Mathematics
[2] University of Hafr Al-Batin,Mathematics Department
[3] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源：
Applied Mathematics & Optimization | 2018年 / 77卷
关键词：
Bresse systems; Exponential stability; Lack of exponential stability; Polynomial stability; Cattaneo’s law; Thermoelasticicity second sound; 35B40; 74H40; 74H55; 93D20;
D O I：
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摘要：
In this paper we study the well-posedness and the asymptotic stability of a one-dimensional thermoelastic Bresse system, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacements. We establish the well-posedness of the system and prove that the system is exponentially stable depending on the parameters of the system. Furthermore, we show that in general, the system is not exponential stable. In this regards, we prove that the solution decays polynomially.
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页码：315 / 341
页数：26
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