Existence of weak solutions to steady compressible magnetohydrodynamic equations

The three-dimensional equations of steady compressible magnetohydrodynamic non-isentropic flows are considered. A boundary value problem for the velocity and the temperature is studied in a bounded domain with arbitrarily large data. The existence of weak solutions to these equations is established under the assumption that the pressure P(ρ,θ)=c1ργ+c2ρθ for γ>73.