On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction

F Dell'Oro - Journal of Differential Equations, 2021 - Elsevier
We investigate the stability of three thermoelastic beam systems with hyperbolic heat
conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and …

General decay of the Moore–Gibson–Thompson equation with viscoelastic memory of type II

S Boulaaras, A Choucha… - Journal of Function …, 2022 - Wiley Online Library
General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of
Type II - Boulaaras - 2022 - Journal of Function Spaces - Wiley Online Library Skip to Article …

The asymptotic behavior of the Bresse–Cattaneo system

B Said-Houari, T Hamadouche - Communications in Contemporary …, 2016 - World Scientific
In this paper, we investigate the decay properties of the Bresse–Cattaneo system in the
whole space. We show that the coupling of the Bresse system with the heat conduction of …

[HTML][HTML] Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay

A Choucha, S Boulaaras, R Jan, R Guefaifia - Boundary Value Problems, 2023 - Springer
Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of
type III with distributed delay | SpringerLink Skip to main content Advertisement SpringerLink …

[HTML][HTML] On the stability of the Bresse system with frictional damping

TE Ghoul, M Khenissi, B Said-Houari - Journal of Mathematical Analysis …, 2017 - Elsevier
In this paper, we consider the Bresse system with frictional damping terms and prove some
optimal decay results for the L 2-norm of the solution and its higher order derivatives. In fact …

Decay rates of the solutions to the thermoelastic bresse system of types I and III

FA Gallego, JE Rivera - arXiv preprint arXiv:1702.04198, 2017 - arxiv.org
In this paper, we study the energy decay for the thermoelastic Bresse system in the whole
line with two different dissipative mechanism, given by heat conduction (Types I and III). We …

Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity

W Youssef - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
We study the stabilization of the transmission problem of the Bresse beam in
thermoelasticity. A non-exponential stability is established by using a result extended from …

On the decay rate of solutions of the Bresse system with Gurtin–Pipkin thermal law

M Khader, B Said-Houari - Asymptotic Analysis, 2017 - content.iospress.com
We consider the Cauchy problem for the one-dimensional Bresse system coupled with the
heat conduction, wherein the latter is described by the Gurtin–Pipkin thermal law. We study …

Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect

A Choucha, SAA Saad, R Jan, S Boulaaras - Journal of Pseudo …, 2023 - Springer
In this work, we deal with a one-dimensional Cauchy problem in Timoshenko system with
temperature and microtemperature effect. The heat conduction is given by the theory of Lord …

A new stability number of the Bresse‐Cattaneo system

L Djouamai, B Said‐Houari - Mathematical Methods in the …, 2018 - Wiley Online Library
In this paper, we consider the Bresse‐Cattaneo system with a frictional damping term and
prove some optimal decay results for the L 2‐norm of the solution and its higher order …