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On the decay of a porous thermoelasticity type III with constant delay

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

This paper focuses on the well-posedness and asymptotic stability of solutions of a delayed porous thermoelastic system of type III, where the delay acts on the heat equation. We investigate the cases of equal and non-equal wave speeds. In the first case, we establish an exponential rate of decay provided that the weight of the delay is strictly less than the weight of the thermal dissipation. In the case of non-equal wave speeds, we obtain a polynomial decay rate.

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Acknowledgements

The authors express their sincere thanks to the anonymous referees for the time that have been allocated for the revision of this manuscript. The authors equally appreciate the suggestions made by referees which improve the shape of the manuscript. The first two authors are very grateful for the support they receive from Laboratory of operator theory and PDEs of University of El Oued. The third author thanks University of Hafr Al-Batin (UHB) for the continuous support.

Funding

The present work is funded by DGRSDT (Algeria), PRFU project N\(^{\circ }\): C00L03UN390120220004.

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Authors and Affiliations

  1. Laboratory of operators theory and PDEs, University of El Oued Faculty of Exact Sciences, POB 789, 39000, El Oued, Algeria

    Zineb Nid & Abdelfeteh Fareh

  2. Mathematics Department, University of Hafr Al-Batin (UHB), 31991, Hafr Al-Batin, Saudi Arabia

    Tijani A. Apalara

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  1. Zineb Nid
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  2. Abdelfeteh Fareh
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  3. Tijani A. Apalara
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Correspondence to Abdelfeteh Fareh.

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Nid, Z., Fareh, A. & Apalara, T.A. On the decay of a porous thermoelasticity type III with constant delay. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 67 (2023). https://doi.org/10.1007/s13398-023-01396-9

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  • DOI: https://doi.org/10.1007/s13398-023-01396-9

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