Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-10-13 DOI:10.1142/s179355712350225x

Lamine Bouzettouta, Chaima Boulkheloua, Houssem Eddine Khochemane, Widad Karek

引用次数: 0

Abstract

. In this paper, we consider a one-dimensional Lord-Shulman ther-moelastic system [4] with porous damping 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 show that the dissipations due to thermal eﬀects with porous damping are strong enough to stabilise the system exponentially, independently of the wave speeds of the system.

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具有多孔阻尼和分布延迟项的Lord Shulman热弹性系统的指数稳定性

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.