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Journal of Applied Nonlinear Dynamics 13(2) (2024) 307--322 | DOI:10.5890/JAND.2024.06.009

Nabila Bellal$^{1}$, Chahrazed Messikh$^{1}$, Hamed A. Bouraoui$^{2}$, Abdelhak Djebabla$^{3}$

$^{1}$ Laboratory of Applied Mathematics, Badji Mokhtar University, Annaba, Algeria

$^{2}$ Numerical Analysis, Optimization and Statistics Laboratory, Badji Mokhtar University, Annaba, Algeria

$^{3}$ Laboratory of Mathematics, Dynamics and Modelization, Badji Mokhtar University, Annaba, Algeria

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Abstract

In this work, we consider a one-dimensional thermoelastic system of the Timoshenko type which was studied by Ghennam and Djebabla. Replacing their boundary conditions by the Dirichlet-Neumann conditions, we prove that the system decays in a general way independently of the system's coefficients which constitutes an improvement of the above-mentioned work. Finally, we provide some numerical results to validate the theoretical results.

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