Electron. J. Differential Equations, Vol. 2023 (2023), No. 44, pp. 1-17.

Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux

Jianghao Hao, Jing Yang

Abstract:
In this article, we study the stability of a porous thermoelastic system with Gurtin-Pipkin flux. Under suitable assumptions for the derivative of the heat flux relaxation kernel, we establish the existence and uniqueness of solution by applying the semigroup theory, and prove the exponential stability of system without considering the wave velocity by the means of estimates of the resolvent

Submitted January 16, 2023. Published June 28, 2023.
Math Subject Classifications:35L70, 35B35.
Key Words: Gurtin-Pipkin flux; porous thermoelastic system; semigroup theory; exponential stability.
DOI: https://doi.org/10.58997/ejde.2023.44

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Jianghao Hao
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: hjhao@sxu.edu.cn
Jing Yang
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: 1054599583@qq.com

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