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Well-posedness and energy decay for some thermoelastic systems of Timoshenko type with Kelvin–Voigt dam**

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Abstract

This paper aims to study the well-posedness and the stability of two thermoelastic systems. The derivation of the first system is based on a classical coupling between the mechanical equations of Timoshenko and the thermal effects which are based on the conductivity of Fourier’s law. Whereas, the second system is derivable through a thermal coupling on the shear force. Furthermore, the dam** of Kelvin–Voigt type is simultaneously presented in both the shear stress and the bending moment for the two systems.

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Acknowledgements

The authors would like to thank the anonymous referees and the handling editor for their careful reading and for relevant remarks/suggestions to improve the paper.

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Authors and Affiliations

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

    Hanni Dridi

  2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi Arabia

    Khaled Zennir

  3. Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria

    Khaled Zennir

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  1. Hanni Dridi
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  2. Khaled Zennir
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Correspondence to Hanni Dridi.

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Dridi, H., Zennir, K. Well-posedness and energy decay for some thermoelastic systems of Timoshenko type with Kelvin–Voigt dam**. SeMA 78, 385–400 (2021). https://doi.org/10.1007/s40324-021-00239-0

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  • DOI: https://doi.org/10.1007/s40324-021-00239-0

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