Well-posedness of a stress-augmented Moore-Gibson-Thompson-type model for thermoviscoelastic evolution in a standard linear solid

This manuscript studies a coupled system of nonlinear parabolic and hyperbolic equations that models thermoviscoelastic materials with explicit internal stress relaxation, $$\begin{cases} τu_{ttt} + u_{tt} = (D(Θ)u_{xt})_x + (C(Θ)u_x)_x, \\ Θ_t = Θ_{xx} + |E(Θ)u_{xt} + F(Θ)g_t|^2, \\ τg_t + g = D(Θ)