Exponential stability for a porous elastic system with porous damping and thermal effects

Djellali Fayssal; Labidi Soraya; Taallah Frekh

Djellali Fayssal Badji-Mokhtar University, P. B. 12, 23000 Annaba, Algeria.
Labidi Soraya Laboratory of Applied Mathematics, Badji-Mokhtar University, P. B. 12, 23000 Annaba, Algeria.
Taallah Frekh Mathematical Modeling and Numerical Simulation Laboratory, Badji-Mokhtar University, P. B. 12, 23000 Annaba, Algeria.

Abstract

This paper is concerned with a one dimensional porous thermoelastic system. It is known that the solid possess microstructure where, in addition to thermal effect and microdeformations, the microtemperatures are considered. We show an exponential decay when thermal and porous dissipations acting together upon the system.