The Oberbeck–Boussinesq approximation and Rayleigh–Benard convection revisited

0586505 - MÚ 2025 RIV US eng J - Journal Article
Feireisl, Eduard - Rocca, E. - Schimperna, G.
The Oberbeck–Boussinesq approximation and Rayleigh–Benard convection revisited.
Discrete and Continuous Dynamical Systems. Roč. 44, č. 8 (2024), s. 2387-2402. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR(CZ) GA24-11034S
Institutional support: RVO:67985840
Keywords : long-time behaviour * non-local boundary conditions * Oberbeck-Boussinesq approximation * Rayleigh-Bénard convection
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.3934/dcds.2024032

We consider the Oberbeck-Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non-local term arising in the incompressible limit of the Navier-Stokes-Fourier system. The long time behaviour of the resulting initial/boundary value problem is investigated.
Permanent Link: https://hdl.handle.net/11104/0353971