Jiali Qin, Jianghao Hao
Abstract:
In this article, we study a Timoshenko model with thermal and mass diffusion effects.
Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam,
where the heat conduction is given by Green and Naghdi, called thermoelasticity of
type III. We obtain the stability of the system using the perturbed energy method and
the system is exponentially stable when the wave speeds are equal.
In the case of unequal wave speeds, we demonstrate that the system lacks exponential
stability, and it is polynomially stable. These results indicate that the wave speed
has a significant impact on the stability of the system, and the transmission performance
of the system is better when the wave speeds are equal.
Submitted February 1, 2025. Published July 23, 2025.
Math Subject Classifications: 35B35, 35L55, 93D15.
Key Words: Timoshenko system; exponentially stable; polynomially stable; exponential stability; thermodiffusion of type III.
DOI: 10.58997/ejde.2025.77
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Jiali Qin School of Mathematics and Statistics Shanxi University Taiyuan, Shanxi 030006, China email: 1953543775@qq.com |
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Jianghao Hao Key Laboratory of Complex Systems and Data Science of Ministry of Education Shanxi University Taiyuan, Shanxi 030006, China email: hjhao@sxu.edu.cn |
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