Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type

In this paper, we consider several problems arising in the theory of thermoelastic bodies with voids. Four particular cases are considered depending on choice constitutive tensors, assuming different dissipation mechanisms determined by Moore–Gibson–Thompson-type viscosity. For all them, existence and uniqueness solutions shown using semigroup arguments. The energy decay is also analyzed for each case.