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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.

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