Evolution of the gas cloud, rotating around the gravitating center, is investigated. The influence of self-gravitation and cooling of disk on the formation of its configuration is studied. The influence of gravity of central object and self-gravitation leads to the intensive compression of cloud, an increase in the density and temperature. Because of an increase in the temperature the pressure, which counteracts compression, grows, and density gradually is reduced. The calculation of the simple law of cooling reduces temperature, density decreases less. The possibility of the disk fragmentation appears.

gas disk, self-gravitation, fragmentation, cooling

Mathematical modelling in actual problems of science and technics