Abstract:
We consider the equations describing the three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures. We also prove the existence of weak solutions to the boundary value problem in a bounded domain without any simplifying assumptions on the structure of the viscosity matrix except for the standard physical requirement of positive definiteness.
Keywords:boundary value problem, existence theorem, dynamics of a mixture, Navier–Stokes equations, weak solution.