On a Stokes-Like System for Mixtures of Fluids

We consider a simplified model that describes steady flows of a miscible mixture of fluids. The corresponding system of equations is studied in the whole space $\R^3$. The densities $\rho_i$ of the species and their velocity fields $\ui$ are prescribed at infinity: $\rho_i|_{\infty} = \rho_{i \infty} > 0\,,\;\; \ui|_{\infty} = 0$. We prove the existence of weak solutions to the system under consideration.

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