Exponential stability of the von Kármán system with internal damping

Abstract

This work deals with a von Kármán system with internal damping. For the solution’s existence, we use nonlinear semigroup theory tools. We construct an evolution system by nonlinear Lipschitz perturbation of a semigroup of contractions. We apply the energy method for the asymptotic behavior, which uses suitable multipliers to construct a Lyapunov functional that leads to exponential decay.