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The hydrostatic approximation of compressible anisotropic Navier-Stokes equations
Gao, H. ; Nečasová, Šárka ; Tang, T.
The aim of the paper is to give a rigorous derivation of 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 the general large scale geophysical motions meaning that the vertical scale is signi cantly smaller than horizontal.