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We consider a boundary-value problem describing the steady motion of atwo-component mixture of viscous compressible heat-conducting fluids in abounded domain. We make no simplifying assumptions except for postulating thecoincidence of phase temperatures (which is physically justified in certainsituations), that is, we retain all summands in equations that are a naturalgeneralization of the Navier-Stokes-Fourier model of the motion of aone-component medium. We prove the existence of weak generalized solutions ofthe problem.

Solvability of a steady boundary-value problem for the equations of one-temperature viscous compressible heat-conducting bifluids