On the hydrostatic approximation of compressible anisotropic Navier–Stokes equations

In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale motions meaning that the vertical scale is significantly small...

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Bibliographic Details
Main Authors: Gao, Hongjun, Nečasová, Šárka, Tang, Tong
Format: Article
Language:English
Published: Académie des sciences 2021-08-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.186/