Stability for thermo-elastic Bresse system of second sound with past history and delay term

2020 ◽  
Vol 36 (4) ◽  
pp. 315
Author(s):  
Khaled Zennir ◽  
Djamel Ouchenane ◽  
Abdelbaki Choucha
Keyword(s):  
Past History ◽  
Second Sound ◽  
Delay Term ◽  
Bresse System

scholarly journals A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Djamel Ouchenane ◽  
Zineb Khalili ◽  
Fares Yazid ◽  
Mohamed Abdalla ◽  
Bahri Belkacem Cherif ◽  
...  
Keyword(s):  
Asymptotic Stability ◽  
Past History ◽  
Stability Result ◽  
Shear Angle ◽  
Well Posedness ◽  
Second Sound ◽  
One Dimensional ◽  
Delay Term ◽  
Bresse System ◽  
Semigroup Method

We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

Explicit Stability for a Porous Thermoelastic System with Second Sound and Distributed Delay Term

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Abdelhak Djebabla ◽  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir
Keyword(s):  
Distributed Delay ◽  
Second Sound ◽  
Delay Term

A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Djamel Ouchenane
Keyword(s):  
Heat Conduction ◽  
Stability Result ◽  
Well Posedness ◽  
Second Sound ◽  
Timoshenko System ◽  
Wave Speeds ◽  
One Dimensional ◽  
Delay Term ◽  
Semigroup Method ◽  
Cattaneo’S Law

AbstractIn this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with a delay term in the feedback. The heat conduction is given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem. Furthermore, an exponential stability result is shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.

scholarly journals EXPONENTIAL DECAY OF THERMO-ELASTIC BRESSE SYSTEM WITH DISTRIBUTED DELAY TERM

2017 ◽  
Vol 47 (6) ◽  
Author(s):  
Salah Zitouni ◽  
Lamine Bouzettouta ◽  
Khaled Zennir ◽  
Djamel Ouchenane
Keyword(s):  
Exponential Decay ◽  
Distributed Delay ◽  
Delay Term ◽  
Bresse System

Asymptotic behavior to Bresse system with past history

2014 ◽  
Vol 73 (1) ◽  
pp. 23-54 ◽  
Author(s):  
Mauro de Lima Santos ◽  
A. Soufyane ◽  
Dilberto da Silva Almeida Júnior
Keyword(s):  
Asymptotic Behavior ◽  
Past History ◽  
Bresse System
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