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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


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.

References

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