Weak and Variational Solutions to Steady Equations for Compressible Heat Conducting Fluids

We study a steady compressible Navier–Stokes–Fourier system in a bounded three-dimensional domain. We consider a general pressure law of the form $p=(\gamma-1)\varrho e$ which includes in particular the case $p=a_1\varrho\vartheta+a_2\varrho^\gamma$. We show the existence of a variational entropy so... View More