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We consider the compressible Navier - Stokes - Fourier - Poisson system describing the motion of a viscous heat conducting rotating fluid confined  a straight layer $ Omega_{epsilon} = omega times (0,epsilon) $, where $omega$ is a 2-D domain. The aim of this paper is  show that the weak solutions in the 3D domain converge  the strong solution of the 2-D Navier - Stokes - Fourier - Poisson system $omega$ as $epsilon to 0$ on the time interval, where the strong solution exists. We consider two different regimes in dependence on the asymptotic behaviour of the Froude number.

The rotating Navier–Stokes–Fourier–Poisson system on thin domains