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Palymskiy, I.B. and Fomin, P.A. (2024) Modeling of Atmospheric Geophysical Processes of Explosive Nature. SGUGIT. (In Russian)

has been cited by the following article:

• TITLE: Study of the Stability of a Compressible Gas Layer in a Gravity Field

  AUTHORS: Igor Palymskiy

  KEYWORDS: Gas, Turbulence, Compressibility, Gravitational Force, Numerical Simulation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.1, January 30, 2026

  ABSTRACT: 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.