Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound

We consider thermoelastic systems in two or three space dimensions where thermal disturbances are modeled propagating as wavelike pulses traveling at finite speed. This is done using Cattaneo’s law for heat conduction instead of Fourier’s law. For Dirichlet type boundary conditions, the exponential stability of the now purely, but slightly damped, hyperbolic system is proved in the radially symmetric case.