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Exponential Stability for a Thermoelastic Porous System with Microtemperatures Effects

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Abstract

In this article, we consider a one-dimensional thermoelastic porous system with microtemperatures. Based on the energy method we show in the case of zero thermal conductivity that the dissipation given only by the microtemperatures is strong enough to produce an exponential stability irrespective of the wave speeds of the system or any other condition on the coefficients. The result of this paper is new and improves previous results in the literature.

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Acknowledgements

The author thanks very much the anonymous referee for his respectful advice and remarks to correct and improve the paper.

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Authors and Affiliations

  1. Ecole Normale Supérieure d’Enseignement Technologique de Azzaba, Skikda, Algeria

    Houssem Eddine Khochemane

  2. Department of Mathematics, Laboratory of Analysis and Control of Differential Equations, Faculty of MISM, University 8 May 1945, Guelma, Algeria

    Houssem Eddine Khochemane

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  1. Houssem Eddine Khochemane
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Correspondence to Houssem Eddine Khochemane.

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Khochemane, H.E. Exponential Stability for a Thermoelastic Porous System with Microtemperatures Effects. Acta Appl Math 173, 8 (2021). https://doi.org/10.1007/s10440-021-00418-1

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  • DOI: https://doi.org/10.1007/s10440-021-00418-1

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