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On the incompressible limit of a strongly stratified heat conducting fluid
- 1.0573352 - MÚ 2024 RIV DE eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : incompressible limit * Majda’s model * Navier-Stokes-Fourier system * stratified fluid
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: 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.
Permanent Link: https://hdl.handle.net/11104/0343813
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