On the stability of linear porous elastic materials with microtemperatures effects
Marwa Saci, Abdelhak Djebabla
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.
Topics & Concepts
DissipationStability (learning theory)PorosityPorous mediumMaterials scienceExponential stabilityMechanicsExponential functionThermodynamicsMathematicsMathematical analysisPhysicsComposite materialNonlinear systemComputer scienceMachine learningQuantum mechanicsThermoelastic and Magnetoelastic PhenomenaAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential Equations