Theoretical and numerical results on the control of type III thermoelastic porous system-Reference-Cited by-同舟云学术

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

Published:2024-01-24 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Messaoudi Salim A.¹^ORCID,Al‐Mahdi Adel M.²³^ORCID,Alahyane Mohamed⁴

Affiliation:

1. Department of Mathematics University of Sharjah Sharjah United Arab Emirates

2. The Preparatory Year Program King Fahd University of Petroleum & Minerals Dhahran Saudi Arabia

3. The Interdisciplinary Research Center in Construction and Building Materials King Fahd University of Petroleum & Minerals Dhahran Saudi Arabia

4. MIA Laboratory La Rochelle University La Rochelle France

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.

Funder

King Fahd University of Petroleum and Minerals

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9918

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