On the Rayleigh--B\' enard convection problem for rotating fluids
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912519769030656 |
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| author | Fanelli, Francesco Feireisl, Eduard |
| author_facet | Fanelli, Francesco Feireisl, Eduard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Rayleigh--B\' enard convection problem for rotating fluids Fanelli, Francesco Feireisl, Eduard Analysis of PDEs Fluid Dynamics 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. |
| title | On the Rayleigh--B\' enard convection problem for rotating fluids |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2508.02933 |