Well-posedness and stability results for a swelling porous-heat system of second sound
Ahmed Keddi, Salim A. Messaoudi, Mohamed Alahyane
Abstract
In this work, we consider a swelling porous-elastic system coupled with a heat system of second sound. We establish the existence of solutions then we prove an exponential decay result. Unlike the “purely” porous system, this result is obtained without the equal-speed requirement. We also perform some numerical tests to illustrate our theoretical findings.
Topics & Concepts
PorosityPorous mediumSwellingWork (physics)Stability (learning theory)MechanicsSound (geography)Exponential functionSecond soundMaterials scienceExponential stabilityMathematical analysisMathematicsThermodynamicsPhysicsComputer scienceAcousticsComposite materialNonlinear systemQuantum mechanicsMachine learningThermoelastic and Magnetoelastic PhenomenaAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential Equations