The hydrostatic approximation of compressible anisotropic Navier-Stokes equations

0554643 - MÚ 2023 RIV CZ eng C - Conference Paper (international conference)
Gao, H. - Nečasová, Šárka - Tang, T.
The hydrostatic approximation of compressible anisotropic Navier-Stokes equations.
Proceedings of Topical Problems of Fluid Mechanics 2022. Prague: Institute of Thermomechanics AS CR, 2022 - (Šimurda, D.; Bodnár, T.), s. 59-64. ISBN 978-80-87012-77-2. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2022. Prague (CZ), 16.02.2022-18.02.2022]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : anisotropic Naiver-Stokes equations * aspect ratio limit * hydrostatic approximation
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2022.009

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.
Permanent Link: http://hdl.handle.net/11104/0329341