Journal of Applied Nonlinear Dynamics
General Energy Decay Study for Memory Type Timoshenko System with Thermoelasticity Type III with Memory Damping
Terms
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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