  In this paper we are concerned with a non-isothermal compressible
Navier-Stokes-Fourier model with density dependent viscosity that vanish on the
vacuum. We prove the global existence of weak solutions with large data in the
three-dimensional torus $\Omega=T^{3}$. The main point is that the pressure is
given by $P=R\rho \theta$ without additional cold pressure assumption.
