On the incompressible limit of a strongly stratified heat conducting fluid
arXiv:2212.10902 · doi:10.1007/s00021-023-00791-x
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.
published version. arXiv admin note: text overlap with arXiv:2206.14041