Original title:
The hydrostatic approximation of compressible anisotropic Navier-Stokes equations
Authors:
Gao, H. ; Nečasová, Šárka ; Tang, T. Document type: Papers Conference/Event: Topical Problems of Fluid Mechanics 2022, Prague (CZ), 20220216
Year:
2022
Language:
eng Abstract:
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.
Keywords:
anisotropic Naiver-Stokes equations; aspect ratio limit; hydrostatic approximation Project no.: GA19-04243S (CEP) Funding provider: GA ČR Host item entry: Proceedings of Topical Problems of Fluid Mechanics 2022, ISBN 978-80-87012-77-2, ISSN 2336-5781 Note: Související webová stránka: https://doi.org/10.14311/TPFM.2022.009
Institution: Institute of Mathematics AS ČR
(web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0329341