Author:
Basarić Danica,Bella Peter,Feireisl Eduard,Oschmann Florian,Titi Edriss S.
Abstract
AbstractA 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.
Funder
Institute of Mathematics of the Czech Academy of Sciences
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics
Reference15 articles.
1. Belgiorno, F.: Notes on the third law of thermodynamics, I. J. Phys. A 36, 8165–8193 (2003)
2. Belgiorno, F.: Notes on the third law of thermodynamics, II. J. Phys. A 36, 8195–8221 (2003)
3. Bella, P., Feireisl, E., Oschmann, F.: Rigorous derivation of the Oberbeck–Boussinesq approximation revealing unexpected term. Preprint available at http://www.math.cas.cz/fichier/preprints/IM_20220721120958_85.pdf
4. Chaudhuri, N., Feireisl, E.: Navier–Stokes–Fourier system with Dirichlet boundary conditions. Appl. Anal. 101(12), 4076–4094 (2022)
5. Daniels, K.E., Brausch, O., Pesch, W., Bodenschatz, E.: Competition and bistability of ordered undulations and undulation chaos in inclined layer convection. J. Fluid Mech. 597, 261–282 (2008)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献