On the steady flow of a multicomponent, compressible, chemically reacting gas. (English) Zbl 1254.35198
Summary: We consider the system of equations governing the steady flow of a polyatomic isothermal reactive gas mixture. The model covers situations when the pressure depends on species concentrations and when the diffusion coefficients of each of the species are density-dependent. It is shown that this problem admits a weak solution provided the adiabatic exponent for the mixture \(\gamma \) is greater than \(\frac 73\).
MSC:
35Q35 | PDEs in connection with fluid mechanics |
35D30 | Weak solutions to PDEs |
35B45 | A priori estimates in context of PDEs |
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |