Solvability of a regularized boundary-value problem for the system of equations of dynamics of mixtures of viscous compressible heat-conducting fluids

We consider the boundary–value problem for the system of nonlinear partial differential equations which arise in the analysis of stationary motions of mixtures of viscous compressible heat–conducting fluids in a bounded domain of three–dimensional space. We prove the existence of strong solutions to the regularized boundary value problem.