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On the incompressible limit of a strongly stratified heat conducting fluid
- Publication Year :
- 2022
-
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.<br />Comment: published version. arXiv admin note: text overlap with arXiv:2206.14041
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.10902
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00021-023-00791-x