Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer�Phillips corollary applied to the Hille�Yosida theorem. The exponential stabil...

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Main Authors: Choucha A., Boulaaras S., Jan R., AbaOud M., Alrajhi R.
Other Authors: 57216493937
Format: Article
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
Subjects:
distributed delay term
general decay
Lord Shulman
mathematical operators
partial differential equations
swelling porous system
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Institution: Universiti Tenaga Nasional
id my.uniten.dspace-33852
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spelling my.uniten.dspace-338522024-10-14T11:17:20Z Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay Choucha A. Boulaaras S. Jan R. AbaOud M. Alrajhi R. 57216493937 36994353700 57205596279 57216877625 58749534900 distributed delay term general decay Lord Shulman mathematical operators partial differential equations swelling porous system The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer�Phillips corollary applied to the Hille�Yosida theorem. The exponential stability result is proven by the energy method under suitable assumptions. � 2023 by the authors. Final 2024-10-14T03:17:20Z 2024-10-14T03:17:20Z 2023 Article 10.3390/math11234785 2-s2.0-85178943830 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85178943830&doi=10.3390%2fmath11234785&partnerID=40&md5=50f4ebf772e774459d2a2a02e8721b8c https://irepository.uniten.edu.my/handle/123456789/33852 11 23 4785 All Open Access Gold Open Access Multidisciplinary Digital Publishing Institute (MDPI) Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic distributed delay term
general decay
Lord Shulman
mathematical operators
partial differential equations
swelling porous system
spellingShingle distributed delay term
general decay
Lord Shulman
mathematical operators
partial differential equations
swelling porous system
Choucha A.
Boulaaras S.
Jan R.
AbaOud M.
Alrajhi R.
Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
description The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer�Phillips corollary applied to the Hille�Yosida theorem. The exponential stability result is proven by the energy method under suitable assumptions. � 2023 by the authors.
author2 57216493937
author_facet 57216493937
Choucha A.
Boulaaras S.
Jan R.
AbaOud M.
Alrajhi R.
format Article
author Choucha A.
Boulaaras S.
Jan R.
AbaOud M.
Alrajhi R.
author_sort Choucha A.
title Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
title_short Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
title_full Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
title_fullStr Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
title_full_unstemmed Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay
title_sort well-posedness and stability results for lord shulman swelling porous thermo-elastic soils with microtemperature and distributed delay
publisher Multidisciplinary Digital Publishing Institute (MDPI)
publishDate 2024
_version_ 1814061156306780160

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