Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term

0577220 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
Bella, P. - Feireisl, Eduard - Oschmann, Florian
Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term.
Communications in Mathematical Physics. Roč. 403, č. 3 (2023), s. 1245-1273. ISSN 0010-3616. E-ISSN 1432-0916
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: Oberbeck-Boussinesq approximation * Navier-Stokes-Fourier system * Mach number
Obor OECD: Pure mathematics
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s00220-023-04823-5

We consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described by the Navier-Stokes-Fourier system considered in the regime of low Mach and Froude numbers suitably interrelated. Surprisingly and differently to the case of Neumann boundary conditions for the temperature, the asymptotic limit is identified as the Oberbeck-Boussinesq system supplemented with non-local boundary conditions for the temperature deviation.
Trvalý link: https://hdl.handle.net/11104/0346436