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Uniform energy decay rates for a transmission problem of Timoshenko system with two memories

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Abstract

This paper studies the long-time behavior of solutions for a transmission problem of Timoshenko beam with memory. We show that the stability of the system holds for a much larger class of relaxation functions and get better decay rate than the ones existing in the literature. We also give some numerical tests to validate the theoretical results.

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Authors and Affiliations

  1. Département de Mathématiques et Informatique, Faculté Polydisciplinaire de Safi, Université Cadi Ayyad, Marrakesh, Morocco

    Mounir Afilal

  2. L2EP Laboratory, University of Lille, Lille, France

    Mohamed Alahyane

  3. Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, People’s Republic of China

    Baowei Feng

  4. Department of Mathematics, College of Sciences, University of Sharjah, P.O. Box 27272, Sharjah, UAE

    Abdelaziz Soufyane

Authors
  1. Mounir Afilal
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  2. Mohamed Alahyane
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  3. Baowei Feng
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  4. Abdelaziz Soufyane
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Correspondence to Baowei Feng.

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Afilal, M., Alahyane, M., Feng, B. et al. Uniform energy decay rates for a transmission problem of Timoshenko system with two memories. Z. Angew. Math. Phys. 73, 172 (2022). https://doi.org/10.1007/s00033-022-01799-5

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  • DOI: https://doi.org/10.1007/s00033-022-01799-5

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