Stability results for elastic porous media swelling with nonlinear damping
A. J. A. Ramos, Mirelson M. Freitas, Darlene Souza da Silva Almeida, A. S. Noé, M. J. Dos Santos
Abstract
In this paper, we consider a one-dimensional linear theory of swelling porous elastic soils damped with a single nonlinear feedback. We establish an exponential decay rate, using a multiplier method and some properties of convex functions without imposing any restrictive growth assumption near the origin on the damping term, provided that the wave speeds of the system are equal.
Topics & Concepts
Porous mediumSwellingNonlinear systemMathematical analysisExponential stabilityStability (learning theory)Exponential functionMathematicsPorosityMechanicsPhysicsClassical mechanicsMaterials scienceComposite materialComputer scienceMachine learningQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringThermoelastic and Magnetoelastic Phenomena