Long-time behavior for a nonlinear Timoshenko system: Thermal damping versus weak damping of variable-exponents type

In this work, we consider a nonlinear thermoelastic Timoshenko system with a time-dependent coefficient where the heat conduction is given by Coleman-Gurtin [1]. Consequently, the Fourier and Gurtin-Pipkin laws are special cases. We prove that the system is exponentially and polynomially stable. The...

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Bibliographic Details
Main Author: Adel M. Al-Mahdi
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231515?viewType=HTML