A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings
Adel M. Al‐Mahdi, Salim A. Messaoudi, Mohammad M. Al‐Gharabli
Abstract
In this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms. Our result allows a larger class of damping terms, and the usual exponential and polynomial decay estimates are only special cases. We also give some illustrative examples.
Topics & Concepts
Nonlinear systemPorous mediumBoundary (topology)SwellingPolynomialExponential stabilityWork (physics)Exponential functionMathematical analysisClass (philosophy)MathematicsBoundary value problemStability (learning theory)PorosityPhysicsMaterials scienceComputer scienceThermodynamicsComposite materialArtificial intelligenceMachine learningQuantum mechanicsAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential EquationsNavier-Stokes equation solutions