Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term

DOI10.1007/s00220-023-04823-5arXiv2206.14041MaRDI QIDQ6076984

Eduard Feireisl, Florian Oschmann, Peter Bella

Publication date: 17 October 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.14041

zbMATH Keywords

Rayleigh-Bénard problemOberbeck-Boussinesq approximation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Free convection (76R10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

On the exponential decay in time of solutions to a generalized Navier-Stokes-Fourier system

Cites Work

• On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions
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• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Large departures from Boussinesq approximation in the Rayleigh–Bénard problem
• Notes on the third law of thermodynamics: I
• Mathematics of Open Fluid Systems
• Navier–Stokes–Fourier system with Dirichlet boundary conditions
• The Oberbeck–Boussinesq system with non-local boundary conditions
• Singular limits in thermodynamics of viscous fluids
• The onset of convection in the Rayleigh-Bénard problem for compressible fluids
• Asymptotic adaptive methods for multi-scale problems in fluid mechanics
• On the incompressible limit of a strongly stratified heat conducting fluid

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