On the stability of linear porous elastic materials with microtemperatures effects

Abstract

In this article, we study a porous-elastic system with dissipation only due to microtemperatures effect. We introduce a new stability number and prove that the unique dissipation due to the microtemperatures is strong enough to drive the system to the equilibrium state in an exponential manner. This result is new and improves previous results in the literature.

Keywords:

• Energy method
• exponential decay
• Lyapunov functional
• microtemperature damping
• porous system

AMS SUBJECT CLASSIFICATION:

• 435B37
• 35L55
• 74D05
• 93D15

Acknowledgment

The authors express sincere thanks to the anonymous referee for his/her constructive comments and suggestions that helped to improve this paper.