Evolution of the gas cloud, which rotates around the gravitating center, is investigated. The dependence of the configuration of gas disk on the initial distribution of density, rotational speed and self-gravitation is studied. The influence of self-gravitation leads to the more intensive compression of cloud, an increase in the density and fragmentation. Because of an increase in the temperature the fragmentation is stoped, density gradually is reduced and the typical configuration of quasi-stationary astrophysical disk is formed. It is not steady, gas is diffused slowly.

gas disk, self-gravitation, fragmentation

Mathematical modelling in actual problems of science and technics