NEW STABILITY NUMBER OF THE TIMOSHENKO SYSTEM WITH ONLY MICROTEMPERATURE EFFECTS AND WITHOUT THERMAL CONDUCTIVITY

被引：1

作者：

Meradji, S. ^{[1
]}

Boudeliou, M. ^{[2
]}

Djebabla, A. ^{[1
]}

机构：

[1] Badji Mokhtar Annaba Univ, Lab Math Dynam & Modelizat, Annaba, Algeria

[2] Badji Mokhtar Annaba Univ, Numer Anal Optimizat & Stat Lab, Annaba, Algeria

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2024年 / 12卷 / 01期

关键词：

Exponential decay; Timoshenko system; microtemperature dissipation; energy method; exponential stability; ENERGY DECAY; THERMOELASTICITY; STABILIZATION; MEMORY;

D O I：

10.32523/2306-6172-2024-12-1-94-109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the asymptotic behavior of a thermoelastic Timoshenko system with dissipation due only to microtemperature effects and no thermal diffusivity. Under an appropriate new assumption about the coefficients of the system and by using the energy method, we prove that the unique dissipation due to microtemperatures is strong enough to stabilize the system exponentially.

引用

页码：94 / 109

页数：16

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