The stability of the equilibrium of a compressible gas layer in a gravity field is investigated. The same temperature is specified on all boundaries of the computational domain. The stability of the static equilibrium state of a compressible gas layer in a gravity field is analyzed in the linear approximation. It is shown in the linear approximation that at a sufficiently large height of the layer, the equilibrium static solution becomes unstable. The obtained data are supplemented by the results of solving a system of complete nonlinear equations describing the flows of compressible gas. The features of the obtained non-stationary solution are discussed.
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