Armenian Journal of Mathematics, 14(3)
2022; 1–23
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Exponential decay for a strain gradient porous thermoelasticity with second sound

Afaf Ahmima*, Abdelfeteh Fareh

Received: 2024-12-05 · Published: 2022-03-03

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Exponential decay for a strain gradient porous thermoelasticity with second sound
Authors
Afaf Ahmima, Abdelfeteh Fareh
Source journal
Armenian Journal of Mathematics, 14(3)
Published
2022-03-03
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.3-1-23

Abstract

In this paper, we consider a strain gradient porous elastic bar subjected to a thermal disturbance modelled by Cattaneo's law for heat conduction. We use the semigroup approach to prove the existence of a unique weak solution. Although the thermal dissipation induced by the second sound thermoelasticity is weaker than that caused by the classical heat conduction, we prove that the solution decays exponentially.
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