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

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

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Main Authors: Djamel Ouchenane, Abdelbaki Choucha, Mohamed Abdalla, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9948143
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spelling doaj-d80c4dff0e8a40a1b8bb4fc711d68f9d2021-04-12T01:24:23ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9948143On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and StabilityDjamel Ouchenane0Abdelbaki Choucha1Mohamed Abdalla2Salah Mahmoud Boulaaras3Bahri Belkacem Cherif4Laboratory of Pure and Applied MathematicsDepartment of MathematicsMathematics DepartmentDepartment of MathematicsDepartment of MathematicsThe 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.http://dx.doi.org/10.1155/2021/9948143
collection DOAJ
language English
format Article
sources DOAJ
author Djamel Ouchenane
Abdelbaki Choucha
Mohamed Abdalla
Salah Mahmoud Boulaaras
Bahri Belkacem Cherif
spellingShingle Djamel Ouchenane
Abdelbaki Choucha
Mohamed Abdalla
Salah Mahmoud Boulaaras
Bahri Belkacem Cherif
On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
Journal of Function Spaces
author_facet Djamel Ouchenane
Abdelbaki Choucha
Mohamed Abdalla
Salah Mahmoud Boulaaras
Bahri Belkacem Cherif
author_sort Djamel Ouchenane
title On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
title_short On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
title_full On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
title_fullStr On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
title_full_unstemmed On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
title_sort on the porous-elastic system with thermoelasticity of type iii and distributed delay: well-posedness and stability
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/9948143
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AT mohamedabdalla ontheporouselasticsystemwiththermoelasticityoftypeiiianddistributeddelaywellposednessandstability
AT salahmahmoudboulaaras ontheporouselasticsystemwiththermoelasticityoftypeiiianddistributeddelaywellposednessandstability
AT bahribelkacemcherif ontheporouselasticsystemwiththermoelasticityoftypeiiianddistributeddelaywellposednessandstability
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