On a thermoelastic Timoshenko system without the second spectrum: Existence and stability

被引：9

作者：

Keddi, Ahmed ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

Alahyane, Mohamed ^{[3
]}

机构：

[1] Univ Adrar, Lab Math Modeling & Applicat LaMMA, Adrar, Algeria

[2] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

[3] Univ Lille, Lab L2EP, Lille, France

来源：

JOURNAL OF THERMAL STRESSES | 2023年 / 46卷 / 08期

关键词：

Cattaneo's law; exponential decay; second spectrum; Timoshenko system; COUPLE STRESS THEORY; EQUATION; SHEAR;

D O I：

10.1080/01495739.2023.2191662

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this work we study the well-posedness and the asymptotic stability of a linear thermoelastic Timoshenko system free of second spectrum, where the heat conduction is given by Cattaneo's law. We give a detailed proof of the well-posedness, using the semigroup theory. Then, we prove that the system is exponentially stable irrespective of the coefficients. We also illustrate our theoretical results by performing some numerical tests.

引用

页码：823 / 838

页数：16

共 16 条

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