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arXiv · 2212.10902

On the incompressible limit of a strongly stratified heat conducting fluid

Danica Basarić·Peter Bella·Eduard Feireisl·Florian Oschmann·Edriss S. Titi
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Abstract

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.

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Danica Basarić, Peter Bella, Eduard Feireisl, Florian Oschmann, Edriss S. Titi. 2022-12-21. On the incompressible limit of a strongly stratified heat conducting fluid. https://doi.org/10.1007/s00021-023-00791-x

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