The Numerical Method for Solving the 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 rigorous notion of generalized solution is formulated and the numerical method for finding such a solution is proposed. The numerical method is based on the movement of some system of particles and allows to determine the velocity for point singularities and for onedimensional ones as well.