On existence, structural stability, convergence and spatial behavior in thermoelasticity with two temperatures

This paper concerns the thermoelasticity with two temperatures. First, we state the suitable frame where the boundary initial value problem of thermoelasticity with two temperatures is well posed. Second we study the structural stability with respect the parameter which is typical in this theory. When this parameter tends to zero we obtain the system of the usual thermoelasticity. We also study the convergence of the solutions in this theory to the classical one. Last section is devoted to study the spatial behavior for the backward-in-time problem.