Stabilization of a Microtemperature Porous-Elastic System with Distributed Delay-Time

被引：1

作者：

Hebhoub, Fahima ^{[1
]}

Bouzettouta, Lamine ^{[1
]}

Ghennam, Karima ^{[1
]}

Kibech, Khoudir ^{[2
]}

机构：

[1] Univ 20 August 1955, Skikda, Algeria

[2] Ecole Normale Super Enseignement Technol, Skikda, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 05期

关键词：

Porou system; mecrotemperature; distributed delay time; exponential stability; Lyapunov functional; EXPONENTIAL DECAY; THERMOELASTICITY;

D O I：

10.1007/s00009-022-02123-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a one-dimensional porous-elastic system with microtemperature and distributed delay term acting on the porous equation. Under suitable assumptions on the weight of distributed delay, we establish the well-posedness of the system by using semigroup theory and we prove that the unique dissipation due to the microtemperature is strong enough to exponentially stabilize the system when the speeds of wave propagation are equal.

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页数：24

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