  We consider a model describing the steady flow of compressible
heat-conducting chemically-reacting multi-component mixture. We show the
existence of strong solutions under the additional assumption that the mixture
is sufficiently dense. We work in the $L^p$-setting combining the methods for
the weak solutions with the method of decomposition. The result is a
generalization of our previous papers, where the case of single-constituted
fluid was studied.
