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

被引：48

作者：

Keddi, Ahmed A. ^{[1
]}

Apalara, Tijani A. ^{[2
]}

Messaoudi, Salim A. ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Dept Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Univ Hafr Al Batin, Dept Math, POB 1803, Hafar al Batin 31991, Saudi Arabia

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, POB 5046, Dhahran 31261, Saudi Arabia

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2018年 / 77卷 / 02期

关键词：

Bresse systems; Exponential stability; Lack of exponential stability; Polynomial stability; Cattaneo's law; Thermoelasticicity second sound;

D O I：

10.1007/s00245-016-9376-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：315 / 341

页数：27

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