Open AccessConstant vorticity atmospheric Ekman flows in the $ f- $plane approximation
Author(s) -
JinRong Wang,
Michal Fečkan,
Yi Guan
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2022012
Subject(s) - vorticity , physics , ekman transport , ekman layer , constant (computer programming) , ekman number , plane (geometry) , zonal and meridional , mathematical physics , flow (mathematics) , mathematical analysis , mathematics , geometry , vortex , meteorology , thermodynamics , boundary layer , mechanics , atmospheric sciences , geology , oceanography , upwelling , computer science , programming language
We study the geophysical fluid dynamical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Three dimensional Ekman flows with constant vorticity is considered in the \begin{document}$ f- $\end{document} plane approximation. For non-equatorial \begin{document}$ f- $\end{document} plane approximation, we show that any bounded solution of the Ekman flow with a flat surface and constant vorticity vector is the stationary flow with vanishing velocity field, while for the equatorial \begin{document}$ f- $\end{document} plane approximation, we obtain that the pressure presents no variation in the northward direction and the meridional component is constant throughout the fluid domain.