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Thermally driven fluid
convection in the incompressible limit regime
Francesco Fanelli and Eduard Feireisl |
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Vol. 6 (2024), No. 3, 835–858
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Abstract |
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We consider a scaled Navier–Stokes–Fourier system describing the motion of a compressible, heat-conducting, viscous fluid driven by inhomogeneous boundary temperature distribution together with the gravitational force of a massive object placed outside the fluid. We identify the limit system in the low Mach/low Froude number regime for the ill-prepared initial data. The fluid is confined to a bounded cavity with acoustically hard boundary enhancing reflection of acoustic waves. |
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Keywords
Navier–Stokes–Fourier system, Dirichlet boundary
conditions, incompressible limit, Oberbeck–Boussinesq
system
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Mathematical Subject Classification
Primary: 35B40
Secondary: 35B25, 35Q30, 76N15
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Milestones
Received: 18 October 2023
Revised: 25 February 2024
Accepted: 5 April 2024
Published: 1 October 2024
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Authors |
| Francesco Fanelli | ||
| Basque Center for Applied
Mathematics Bilbao Spain |
Ikerbasque Basque Foundation for Science Bilbao Spain |
Université Claude Bernard Lyon
1 CNRS UMR 5208 Villeurbanne France |
| Eduard Feireisl | ||
| Institute of Mathematics Czech Academy of Sciences Prague Czech Republic |
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| © 2024 MSP (Mathematical Sciences Publishers). |
