On a nonisothermal ideal gas Navier-Stokes-Fourier equations
  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 sequential stability of variational weak solutions in periodic domain \Omega= T3. The main point is that the pressure is given by P = R\rho\theta. 
Boling Guo, Binqiang Xie
math.AP