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A New Perspective on the Energy Decay of the Timoshenko–Ehrenfest System: The Non-Local Truncated Approach

Author

Listed:
  • Hamza Zougheib

    (Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, B.P. 11-5020, Riald El Solh, Beirut 1107 2809, Lebanon)

  • Toufic El Arwadi

    (Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, B.P. 11-5020, Riald El Solh, Beirut 1107 2809, Lebanon)

  • Toni Sayah

    (Laboratoire de Mathétiques et Applications, Unité de recherche Mathématiques et Modélisation, CAR, Faculté des Sciences, Université Saint-Joseph, B.P. 11-514 Riad El Solh, Beirut 1107 2050, Lebanon)

Abstract

This paper presents a new perspective on the energy decay of a nonlocal truncated Timoshenko–Ehrenfest system. By using the non local elasticity theory, this model is a generalization of the standard truncated Timoshenko system. The well-posedness of the proposed model is established via the Faedo-Galerkin method. Energy stability and decay properties are then derived using suitable multiplier techniques. Finally, a numerical scheme is constructed, and the exponential decay of the discrete energy is given special attention. Numerical simulations are provided to illustrate and validate the theoretical results.

Suggested Citation

  • Hamza Zougheib & Toufic El Arwadi & Toni Sayah, 2026. "A New Perspective on the Energy Decay of the Timoshenko–Ehrenfest System: The Non-Local Truncated Approach," Mathematics, MDPI, vol. 14(7), pages 1-24, March.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:7:p:1132-:d:1908337
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