On the Rayleigh--B' enard convection problem for rotating fluids

2025/08/04 by Fanelli, Francesco, Feireisl, Eduard · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)

paper · doi:10.48550/arxiv.2508.02933

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.

Citations

• Ekman boundary layers in a domain with topography
• Rotating Rayleigh-Benard convection: Attractors, bifurcations and heat transport via a Galerkin hierarchy
• Unconditional stability of equilibria in thermally driven compressible fluids
• Turbulent Rotating Rayleigh–Bénard Convection
• Navier-Stokes-Fourier system with Dirichlet boundary conditions
• Multiple scales and singular limits for compressible rotating fluids with general initial data

Cited by

• Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows

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