Weak and variational entropy solutions to the system describing steady flow of a compressible reactive mixture

We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We extend previous results on the existence of weak solutions in the sense that we introduce the variational entropy solution for this model and prove existence of a weak solution for a wider range of constitutive relations for the pressure and existence of a variational entropy solutions under more general contraints. The proof is based on improved density estimates.