Konstanzer Schriften in Mathematik ; 355
We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green-Lindsay model, but the nonexponential
stability for the Lord-Shulman model
Leseduarte, M. C., Quintanilla, R., Racke, R. "On (non-)exponential decay in generalized thermoelasticity with two temperatures". 2016.