Theoretical and numerical results on the control of type III thermoelastic porous system

Salim A. Messaoudi; Adel M. Al-Mahdi; Mohamed Alahyane

doi:10.1002/mma.9918

Theoretical and numerical results on the control of type III thermoelastic porous system

Salim A. Messaoudi, Adel M. Al-Mahdi^*, Mohamed Alahyane

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this work, a type III thermo-porous elastic system is considered. First, we use the semigroup theory to demonstrate that the system is well-posed. Second, we show that the system is exponentially stable under a natural constraint on its parameters. Finally, we provide various numerical examples to illustrate numerically our theoretical findings.

Original language	English
Pages (from-to)	8385-8399
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	48
Issue number	7
DOIs	https://doi.org/10.1002/mma.9918
State	Published - 15 May 2025

Bibliographical note

Publisher Copyright:
© 2024 John Wiley & Sons Ltd.

Keywords

exponential decay
numerical computations
semigroup theory
swelling porous
thermoelasticity of type III

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.9918

Cite this

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abstract = "In this work, a type III thermo-porous elastic system is considered. First, we use the semigroup theory to demonstrate that the system is well-posed. Second, we show that the system is exponentially stable under a natural constraint on its parameters. Finally, we provide various numerical examples to illustrate numerically our theoretical findings.",

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AU - Messaoudi, Salim A.

AU - Al-Mahdi, Adel M.

AU - Alahyane, Mohamed

PY - 2025/5/15

Y1 - 2025/5/15

N2 - In this work, a type III thermo-porous elastic system is considered. First, we use the semigroup theory to demonstrate that the system is well-posed. Second, we show that the system is exponentially stable under a natural constraint on its parameters. Finally, we provide various numerical examples to illustrate numerically our theoretical findings.

AB - In this work, a type III thermo-porous elastic system is considered. First, we use the semigroup theory to demonstrate that the system is well-posed. Second, we show that the system is exponentially stable under a natural constraint on its parameters. Finally, we provide various numerical examples to illustrate numerically our theoretical findings.

KW - exponential decay

KW - numerical computations

KW - semigroup theory

KW - swelling porous

KW - thermoelasticity of type III

UR - https://www.scopus.com/pages/publications/85183055197

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DO - 10.1002/mma.9918

M3 - Article

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JF - Mathematical Methods in the Applied Sciences

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Theoretical and numerical results on the control of type III thermoelastic porous system

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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