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Well-posedness and energy decay for Bresse system with microtemperatures effects in the presence of delay

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Abstract

This paper focuses on studying the Bresse system with the effects of microtemperature and delay term. Our objective is to establish the well-posedness of the system by using the theory of semigroups. Additionally, we provide a result regarding the exponential decay of solutions. Specifically, utilizing the energy method, we prove that the dissipation caused by the microtemperature is sufficiently strong to exponentially stabilize the system when the speed of wave propagation are equal.

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Authors and Affiliations

  1. Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Université 20 août 1955, Skikda, Algeria

    Sabah Baibeche, Lamine Bouzetouta, Fahima Hebhoub & Abdallah Lallouche

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  1. Sabah Baibeche
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  2. Lamine Bouzetouta
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  3. Fahima Hebhoub
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  4. Abdallah Lallouche
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Correspondence to Sabah Baibeche.

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Baibeche, S., Bouzetouta, L., Hebhoub, F. et al. Well-posedness and energy decay for Bresse system with microtemperatures effects in the presence of delay. SeMA (2024). https://doi.org/10.1007/s40324-024-00356-6

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