Steady solutions to a model of compressible chemically reacting fluid with high density

Abstract

We consider amodel describing the steady flow of compressible heat-conducting chemically reacting multicomponent mixture. We show the existence of strong solutions under the additional assumption that the mixture is sufficiently dense.

We work in the Lp-setting combining the methods for the weak solutions with the method of decomposition. The result is a generalization of previous results of the authors, where the case of single-constituted fluid was studied.

Keywords

• chemically reacting mixtures
• entropy inequality
• steady compressible Navier–Stokes–Fourier system
• strong solutions