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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 13
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Articles

On the porous thermoelastic system with Coleman–Gurtin law

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Pages 4432-4452 | Received 27 May 2019, Accepted 29 Nov 2020, Published online: 11 Dec 2020
 

ABSTRACT

In this paper, we investigate a porous thermoelastic system where the heat conduction is given by Coleman–Gurtin's law. We show that the system is exponentially or polynomially stable depending on a relationship between the coefficients of wave propagation speed.

1991Mathematics Subject Classifications:

Acknowledgments

The first author was partially supported by CNPq Grant 303026/2018-9, Universal Project 401769/2016-0 and CNPq Grant Pós-doctor Sênior-PDS-114563/2018-7. The authors are grateful to the anonymous referees for the very careful reading and correction which greatly improved this work.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The first author was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Grant 303026/2018-9,Universal Project 401769/2016-0 and CNPq Grant Pós-doctor Sênior-PDS-114563/2018-7. The authors are grateful to the anonymous referees for the very careful reading and correction which greatly improved this work.

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