-

Abstract

The application of the weak approximation method for the solution of the diffusion model of an inhomogeneous fluid given magnetic field in this paper is investigated. The mathematical model is non-evolutionary Navier - Stokes equations, then, question of its   approximation with the question of the solvability is considered. Application of this method enables to obtain from the original system of equations to system of type Cauchy - Kowalevski. This problem can be approximated problem for evolution system of equations with a small parameter  by Sh.S. Smagulov method and then discusses splitting of the problem is considered by method of weak approximation. An estimate for the rate of convergence of the problem solutions to the solution of the original problem as splitting parameter tends to zero.