A new stability result for a thermoelastic Bresse system with viscoelastic damping

A new stability result for a thermoelastic Bresse system with viscoelastic damping

Abstract We investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates....

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Bibliographic Details
Main Authors: Soh Edwin Mukiawa, Cyril Dennis Enyi, Tijani Abdulaziz Apalara
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of Inequalities and Applications
Subjects:
General decay
Fourier law
Bresse system
Viscoelastic law
Convexity
Online Access:https://doi.org/10.1186/s13660-021-02673-0
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spelling doaj-0d48fcf2fa154ad5b714bc6d7e87971a2021-08-08T11:31:41ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-08-012021112610.1186/s13660-021-02673-0A new stability result for a thermoelastic Bresse system with viscoelastic dampingSoh Edwin Mukiawa0Cyril Dennis Enyi1Tijani Abdulaziz Apalara2Department of Mathematics, University of Hafr Al BatinDepartment of Mathematics, University of Hafr Al BatinDepartment of Mathematics, University of Hafr Al BatinAbstract We investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.https://doi.org/10.1186/s13660-021-02673-0General decayFourier lawBresse systemViscoelastic lawConvexity
collection DOAJ
language English
format Article
sources DOAJ
author Soh Edwin Mukiawa
Cyril Dennis Enyi
Tijani Abdulaziz Apalara
spellingShingle Soh Edwin Mukiawa
Cyril Dennis Enyi
Tijani Abdulaziz Apalara
A new stability result for a thermoelastic Bresse system with viscoelastic damping
Journal of Inequalities and Applications
General decay
Fourier law
Bresse system
Viscoelastic law
Convexity
author_facet Soh Edwin Mukiawa
Cyril Dennis Enyi
Tijani Abdulaziz Apalara
author_sort Soh Edwin Mukiawa
title A new stability result for a thermoelastic Bresse system with viscoelastic damping
title_short A new stability result for a thermoelastic Bresse system with viscoelastic damping
title_full A new stability result for a thermoelastic Bresse system with viscoelastic damping
title_fullStr A new stability result for a thermoelastic Bresse system with viscoelastic damping
title_full_unstemmed A new stability result for a thermoelastic Bresse system with viscoelastic damping
title_sort new stability result for a thermoelastic bresse system with viscoelastic damping
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2021-08-01
description Abstract We investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.
topic General decay
Fourier law
Bresse system
Viscoelastic law
Convexity
url https://doi.org/10.1186/s13660-021-02673-0
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