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 the result from Giovangigli et al. (2015) in the sense that we introduce the variational entropy solution for this model and prove existence of a weak solution for gamma > 4/3 and existence of a variational entropy solution for any gamma > 1. The proof is based on improved density estimates. (C) 2016 Elsevier Ltd. All rights reserved.