On the Dynamical System which Corresponds To 2-D System of Gas Dynamics without Pressure

The paper studies the system of equations consisting of the 2-D Burgers equation and continuity equation. Such system was proposed by Ya.Zel'dovich in 1970 to describe the formation of the large-scale structure of the Universe. In this preprint the divergent form (appears to be the gas dynamics system without pressure) of this system is considered. The system of interacting particles, which is governed by the laws of conservation of mass and momentum, is constructed. The corresponding mass and momentum distributions have the limit as number of particles tends to infinity.