Exponential decay in one-dimensional type II thermoviscoelasticity with voids

Abstract

In this paper we consider the one-dimensional type II thermoviscoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior in the case of the classical thermoviscoelastic theory based on the classical Fourier law for which the decay is generically slower.