On the steady flow of reactive gaseous mixture

I am going to talk about a system of equations describing stationary flow of chemically reactive gaseous mixture, which consist in stationary compressible Navier-Stokes-Fourier system coupled with equations describing evolution of fractional masses.

I will present recent results on the existence of weak and variational entropy solutions under the assumption that molar masses of each species are equal. Under this assumption the pressure reduces to usual form for the compressible Navier-Stokes-Fourier system and well developed theory for the latter can be applied to show existence of solutions.

I fill finish with brief description of the problem without the assumption on equal molar masses which remains completely unsolved.