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e-mail: slusarenko@kipt.kharkov.ua We consider spatially inhomogeneous states of particles, weakly interacting with hydrodynamic medium involv-ing Bogolubov’s reduced description method. It has been shown that such a system has both kinetic and hydrody-namic stages of evolution. The coupled system of equations of motion for this evolution stage is obtained. The tran-sition from kinetic to hydrodynamic stage of evolution for particles interacting with medium has been also studied. Consequently we obtained a system of equations, which completely describes the evolution of the system on hydro-dynamic stage. These equations can describe such systems as neutrons propagating in hydrodynamic medium with-out multiplication and capture. PACS: 05.20.Dd, 28.20Gd

A reduced description method in the dynamic theory of particles interacting with medium