On the Rayleigh–Bénard convection problem for rotating fluids

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.

Authors

Institutions

Publication Details

Journal
Geophysical & Astrophysical Fluid Dynamics
Published
2026-06-29
DOI
https://doi.org/10.1080/03091929.2026.2664365
Primary Topic
Geomagnetism and Paleomagnetism Studies
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the Rayleigh–Bénard convection problem for rotating fluids

Francesco Fanelli, Eduard Feireisl
Geophysical & Astrophysical Fluid Dynamics
Geomagnetism and Paleomagnetism Studies
article

On the Rayleigh–Bénard convection problem for rotating fluids

Francesco Fanelli, Eduard Feireisl
article en

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.

Geophysical & Astrophysical Fluid Dynamics
Université Claude Bernard Lyon 1 (FR), Ikerbasque (ES), Basque Center for Applied Mathematics (ES), Institut Camille Jordan (FR), Czech Academy of Sciences, Institute of Mathematics (CZ)
Agence Nationale de la Recherche, Grantová Agentura České Republiky, Eusko Jaurlaritza, Agencia Estatal de Investigación, H2020 European Research Council
Openalex Percentile: Top 100%
Geomagnetism and Paleomagnetism Studies
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.