On the Rayleigh--B\' enard convection problem for rotating fluids
Analysis of PDEs
2025-08-06 v1 Fluid Dynamics
Abstract
In contrast with a large variety of conventional models of thermally driven fluids, we show that the standard Oberbeck--Boussinesq approximation \emph{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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@article{arxiv.2508.02933,
title = {On the Rayleigh--B\' enard convection problem for rotating fluids},
author = {Francesco Fanelli and Eduard Feireisl},
journal= {arXiv preprint arXiv:2508.02933},
year = {2025}
}
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