Chapter 4 - Thermoelasticity

Abstract

This work presents an extensive discussion of initial boundary value problems in thermoelasticity. First, the classical hyperbolic–parabolic model with Fourier’s law of heat conduction is considered giving results on linear systems, nonlinear systems, in one or more space dimensions, in particular discussing the asymptotic behavior of solutions as time tends to infinity. Second, recent developments for hyperbolic models using Cattaneo’s law for heat conduction are described, including the comparison to classical thermoelasticity.