Abstract
The stability of a flat layer of a self-gravitating gas accelerated due to the pressure difference on the layer sides is investigated in the linear approximation. Two-dimensional disturbances of an incompressible medium are considered. The final thickness of the layer is taken into account. It is found that, on the range of parameters for which the effects of the Rayleigh-Taylor instability dominate, the self-gravity results in the increase in fairly short disturbances. When the gravitational attraction between the gas particles is greater than the pressure difference on the layer sides, long-wave disturbances are unstable. The results following from the linear theory are compared with direct numerical calculations. It is shown that the linear theory makes it possible to estimate with reasonable accuracy the mass accumulation rate during the variation of the layer thickness.
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