2008 DG-MP-PDE Seminar - 01

We consider the full system of compressible Navier-Stokes equations for heat conducting fluid. We show that the temperature is uniformly positive for $t\geq t_0$ (for any $t_0>0$) for any solutions with finite initial entropy. The assumptions on the viscosity and conductivity coefficients are minimal (for instance, the global in time solutions constructed by E. Feireisl verify all the requirements).