RATIONALE OF DIFFERENTIAL SPLITTING SCHEMES FOR EQUATIONS OF VISCOUS COMPLRESSIBLE FLUIDS MIXTURE MOVEMENT

Abstract

We consider the differential splitting scheme on physical processes on the system one-dimensional equations viscous compressible fluid mixtures movement. Prove the convergence at the scale of Sobolev spaces in the proposed scheme of splitting. The results can be used as the basis on the construction of mathematical analysis and the corresponding finite-difference splitting scheme. In addition, proved theorem on the convergence proves the existence of a solution to the initial-boundary value problem.

Keywords

• viscous fluids
• the mixture of fluids
• splitting scheme
• convergence