Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane, Bahri Cherif, Mohamed Abdalla
Abstract
In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is established by the multiplier method.
Topics & Concepts
ViscoelasticitySwellingExponential stabilityTerm (time)Exponential functionPorosityMaterials sciencePorous mediumExponential decayCoupling (piping)MechanicsMathematical analysisPhysicsMathematicsComposite materialNonlinear systemQuantum mechanicsNuclear physicsAdvanced Mathematical Modeling in EngineeringThermoelastic and Magnetoelastic PhenomenaStability and Controllability of Differential Equations