Stability of a microtemperatures damped porous-elastic system with nonlinear dissipation and nonlinear distributed delay

Abstract

In this paper, we consider a one-dimensional porous-elastic system with a nonlinear dissipation and a nonlinear distributed delay subjected to microtemperatures effects. We establish an energy decay rate by using a perturbed energy method and some properties of convex functions, but regardless of the wave speeds of the system. Our result is new and extends some previous results to nonlinearity case.