Steady Solutions to Equations of Viscous Compressible Multifluids

Abstract

For the differential equations of the barotropic dynamics of compressible viscous multifluids in a bounded three-dimensional domain with an immobile rigid boundary, a study of the solvability of the boundary value problem is made. Weak generalized solutions to the boundary value problem are shown to exist with weak constraints on the types of viscosity matrices and constitutive equations for pressure and momentum exchange.

Keywords

• viscous compressible multifluid
• viscosity matrix
• barotropic flow
• boundary value problem
• weak generalized solution
• existence theorem