Large-time behavior of solutions to the equations of a viscous heat-conducting flow with shear viscosity in unbounded domains

We consider the initial and initial-boundary value problems for a viscous heat-conducting flow with shear viscosity in unbounded domains with general large initial data. We prove that the temperature is bounded from below and above uniformly in time and space and that the global solution is asymptotically stable as the time tends to infinity. Our approach relies upon the energy-estimate method.