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New stability result for a thermoelastic Bresse system with two infinite memories

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Abstract

In this paper we investigate a thermoelastic system where the oscillations are defined by the Bresse model and the heat conduction is given by Green and Naghdi theories. First, we show that the system is well-posed in the sens of semigroup. Then, based on the energy method we establish a general decay result for the solutions of the system. This result generalizes and improves the earlier work of Ghanam and Djebabla (Math Methods Appl Sci 41:3868–3884, 2018) for the case \(l\ne 0\).

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Acknowledgements

The authors thank 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, Azzaba, Skikda, Algeria

    Houssem Eddine Khochemane

  2. Laboratory of Applied Mathematics, University Badji Mokhtar, P.O. Box 12, 23000, Annaba, Algeria

    Abdelhak Djebabla

Authors
  1. Houssem Eddine Khochemane
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  2. Abdelhak Djebabla
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Khochemane, H.E., Djebabla, A. New stability result for a thermoelastic Bresse system with two infinite memories. SeMA 80, 175–200 (2023). https://doi.org/10.1007/s40324-022-00284-3

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  • DOI: https://doi.org/10.1007/s40324-022-00284-3

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