Global well‐posedness and exponential stability results of a class of Bresse‐Timoshenko‐type systems with distributed delay term

2020 ◽  
Author(s):  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir ◽  
Baowei Feng
Keyword(s):  
Exponential Stability ◽  
Distributed Delay ◽  
Type Systems ◽  
Well Posedness ◽  
Delay Term ◽  
Timoshenko Type ◽  
Stability Results

scholarly journals On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Djamel Ouchenane ◽  
Abdelbaki Choucha ◽  
Mohamed Abdalla ◽  
Salah Mahmoud Boulaaras ◽  
Bahri Belkacem Cherif
Keyword(s):  
Lyapunov Functions ◽  
Elastic System ◽  
Distributed Delay ◽  
Mathematical Physics ◽  
Well Posedness ◽  
Engineering Structures ◽  
One Dimensional ◽  
Delay Term ◽  
Type Iii ◽  
The Stability

The paper deals with a one-dimensional porous-elastic system with thermoelasticity of type III and distributed delay term. This model is dealing with dynamics of engineering structures and nonclassical problems of mathematical physics. We establish the well posedness of the system, and by the energy method combined with Lyapunov functions, we discuss the stability of system for both cases of equal and nonequal speeds of wave propagation.

scholarly journals Well-posedness and stability for Bresse-Timoshenko type systems with thermodiffusion effects and nonlinear damping

2021 ◽  
Vol 6 (3) ◽  
pp. 2704-2721
Author(s):  
Khaled zennir ◽  
◽  
Djamel Ouchenane ◽  
Abdelbaki Choucha ◽  
Mohamad Biomy ◽  
...  
Keyword(s):  
Type Systems ◽  
Nonlinear Damping ◽  
Well Posedness ◽  
Timoshenko Type

Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay

2014 ◽  
Vol 66 (4) ◽  
pp. 1499-1517 ◽  
Author(s):  
Muhammad Kafini ◽  
Salim A. Messaoudi ◽  
Muhammad I. Mustafa ◽  
Tijani Apalara
Keyword(s):  
Type System ◽  
Well Posedness ◽  
Type Iii ◽  
Timoshenko Type ◽  
Stability Results

scholarly journals Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

2021 ◽  
Vol 2021 ◽  
pp. 1-8 ◽  
Author(s):  
Abdelbaki Choucha ◽  
Salah Mahmoud Boulaaras ◽  
Djamel Ouchenane ◽  
Bahri Belkacem Cherif ◽  
Mohamed Abdalla
Keyword(s):  
Exponential Stability ◽  
Elastic System ◽  
Distributed Delay ◽  
General Decay ◽  
Multiplier Method ◽  
Viscoelastic Damping ◽  
Asymptotic Behaviors ◽  
Delay Term

In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is established by the multiplier method.

scholarly journals Exponential Stabilization of a Swelling Porous-Elastic System with Microtemperature Effect and Distributed Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Abdelbaki Choucha ◽  
Salah Mahmoud Boulaaras ◽  
Djamel Ouchenane ◽  
Bahri Belkacem Cherif ◽  
Muajebah Hidan ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Elastic System ◽  
Distributed Delay ◽  
Stability Result ◽  
Exponential Stabilization ◽  
Well Posedness

The swelling porous thermoelastic system with the presence of temperatures, microtemperature effect, and distributed delay terms is considered. We will establish the well posedness of the system, and we prove the exponential stability result.

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
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