On the stability of linear porous elastic materials with microtemperatures effects and frictional damping

Abstract

In this paper, we are interested in the study of a porous-elastic system in one-dimensional open bounded domain and with dissipation due to microtemperatures and frictional damping acting on the first equation (displacement of the solid elastic material). Using the energy method, we prove the exponential decay for the energy.

COMMUNICATED BY:

• G. Panasenko

Keywords:

• Exponential decay
• porous system
• microtemperature damping
• energy method
• Lyapunov functional

AMS Subject Classiffications:

• 435B37
• 35L55
• 74D05
• 93D15

Disclosure statement

No potential conflict of interest was reported by the authors.