Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord-Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that t...

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Main Authors: Choucha A., Boulaaras S., Guefaifia R., Jan R.
Other Authors: 57216493937
Format: Article
Published: John Wiley and Sons Ltd 2025
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author Choucha A.
Boulaaras S.
Guefaifia R.
Jan R.
author2 57216493937
author_facet 57216493937
Choucha A.
Boulaaras S.
Guefaifia R.
Jan R.
author_sort Choucha A.
building UNITEN Library
collection Institutional Repository
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
continent Asia
country Malaysia
description In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord-Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form (Formula presented.) in the case of absence of mechanical damping term. ? 2024 John Wiley & Sons Ltd.
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institution Universiti Tenaga Nasional
publishDate 2025
publisher John Wiley and Sons Ltd
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spelling my.uniten.dspace-369872025-03-03T15:46:22Z Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping Choucha A. Boulaaras S. Guefaifia R. Jan R. 57216493937 36994353700 56204312000 57205596279 Decay (organic) Fourier transforms Mathematical operators Thermoelasticity Decay rate Energy method Fourier space Lord-shulman Mechanical damping Microtemperature damping Systems with impacts Thermoelastics Timoshenko model Timoshenko's system Damping In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord-Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form (Formula presented.) in the case of absence of mechanical damping term. ? 2024 John Wiley & Sons Ltd. Article in press 2025-03-03T07:46:22Z 2025-03-03T07:46:22Z 2024 Article 10.1002/mma.10404 2-s2.0-85201052704 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85201052704&doi=10.1002%2fmma.10404&partnerID=40&md5=b14a63879b111bc54dbf8b3ab910ec2d https://irepository.uniten.edu.my/handle/123456789/36987 John Wiley and Sons Ltd Scopus
spellingShingle Decay (organic)
Fourier transforms
Mathematical operators
Thermoelasticity
Decay rate
Energy method
Fourier space
Lord-shulman
Mechanical damping
Microtemperature damping
Systems with impacts
Thermoelastics
Timoshenko model
Timoshenko's system
Damping
Choucha A.
Boulaaras S.
Guefaifia R.
Jan R.
Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title_full Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title_fullStr Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title_full_unstemmed Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title_short Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
title_sort decay rate of solution for a lord-shulman thermoelastic timoshenko system with impacts of microtemperature without mechanical damping
topic Decay (organic)
Fourier transforms
Mathematical operators
Thermoelasticity
Decay rate
Energy method
Fourier space
Lord-shulman
Mechanical damping
Microtemperature damping
Systems with impacts
Thermoelastics
Timoshenko model
Timoshenko's system
Damping
url_provider http://dspace.uniten.edu.my/