eng
Gao, H.
Nečasová, Šárka
Tang, T.
The hydrostatic approximation of compressible anisotropic Navier-Stokes equations
anisotropic Naiver-Stokes equations
aspect ratio limit
hydrostatic approximation
http://hdl.handle.net/11104/0329341
http://www.nusl.cz/ntk/nusl-508512
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.
2022