On the exponential decay in thermoelasticity without energy dissipation and of type III in presence of an absorbing boundary ✩

We study the asymptotic behavior of the solution of a 3D hyperbolic system arising in the Green–Naghdi models of thermoelasticity of type II and III with a dissipative boundary condition for the displacement and prove that the energy exponentially decays in time. © 2007 Elsevier Inc. All rights reserved.