On the incompressible limit of a strongly stratified heat conducting fluid

0573352 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
Basarić, Danica - Bella, P. - Feireisl, Eduard - Oschmann, Florian - Titi, E. S.
On the incompressible limit of a strongly stratified heat conducting fluid.
Journal of Mathematical Fluid Mechanics. Roč. 25, č. 3 (2023), č. článku 56. ISSN 1422-6928. E-ISSN 1422-6952
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: incompressible limit * Majda’s model * Navier-Stokes-Fourier system * stratified fluid
Obor OECD: Pure mathematics
Impakt faktor: 1.3, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s00021-023-00791-x

A compressible, viscous and heat conducting fluid is confined between two parallel plates maintained at a constant temperature and subject to a strong stratification due to the gravitational force. We consider the asymptotic limit, where the Mach number and the Froude number are of the same order proportional to a small parameter. We show the limit problem can be identified with Majda’s model of layered “stack-of-pancake” flow.
Trvalý link: https://hdl.handle.net/11104/0343813