Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 44, pp. 1-17.

Title: Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux
       
Authors: Jianghao Hao (Shanxi Univ., Taiyuan, Shanxi 030006, China)
         Jing Yang (Shanxi Univ., Taiyuan, Shanxi 030006, China)

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.