On the Rayleigh--B\' enard convection problem for rotating fluids
Abstract
In contrast with a large variety of conventional models of thermally driven fluids, we show that the standard Oberbeck--Boussinesq approximation cannot be obtained as a singular limit of the Navier--Stokes--Fourier system in the rotational coordinate system, with the buoyancy force proportional to the sum of the gravitational and centrifugal forces multiplied by the temperature variation.
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