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Simple model for a two-component gas flow in the presence of macroscopic scatterers.

The nonequilibrium state of a two-component gas mixture in the presence of macroscopic scatterers is investigated. The general solution of a set of the kinetic equations is obtained in the operator form. The model presentation of the collision operator is derived in the spirit of the Bhatnagar-Gross-Krook method. The rigorous solution of a set of the derived model kinetic equations is found.