A new approach to MGT-thermoviscoelasticity

In this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on invariance of entropy under time reversal. We derive differential systems where temperature velocity are ruled by generalized versions Moore-Gibson-Thompson equation. one-dimensional case, provide a complete analysis evolution, establishing an existence uniqueness result valid for any choice constitutive parameters. This turns out to be new also MGT equation itself. Then, suitable assumptions parameters, corresponding subcritical regime system, prove exponential stability related semigroup.