References
- Holton JR. An introduction to dynamic meteorology. New York (NY): Academic Press; 2004.
- Marshall J, Plumb RA. Atmosphere, ocean and climate dynamic: an introduction text. New York (NY): Academic Press; 2018.
- Vallis G. Atmospheric and oceanic fluid dynamics. Cambridge: Cambridge University Press; 2017.
- Ekman VW. On the influence of the earth's rotation on ocean-currents. Arkiv Mat Astr Fys. 1905;2:1–52.
- Zdunkowski W, Bott A. Dynamic of the atmosphere. Cambridge: Cambridge University Press; 2003.
- Marynets K. A Sturm–Lipuville problem arising in the atmospheric boundary-layer dynamics. J Math Fluid Mech. 2020;22:41.
- Constantin A, Ivanov RI. Equatorial wave-current interactions. Comm Math Phys. 2019;370:1–48.
- Constantin A, Johnson RS. Steady large-scale ocean flows in spherical coordinates. Oceanography. 2018;31:42–50.
- Constantin A, Johnson RS. Ekman-type solutions for shallow-water flows on a rotating sphere: a new perspective on a classical problem. Phys Fluids. 2019;31:021401.
- Henry D, Martin CI. Azimuthal equatorial flows with variable density in spherical coordinates. Arch Ration Mech Anal. 2019;233:497–512.
- Pedlosky J. Geophysical fluid dynamic. New York (NY): Springer-Verlag Press; 1987.
- Haltinar GJ, Williams RT. Numercial prediction and dynamic meteorology. New York (NY): Wiley Press; 1980.
- Madsen OS, Secher O. A realistic model of the wind-induced boundary layer. J Phys Oceanogr. 1977;7:248–255.
- Miles J. Analytical solutions for the Ekman layer. Bound Layer Meteorol. 1994;67:1–10.
- Nieuwstadt FTM. On the solution of the stationary, baroclinic Ekman-layer equations with a finite boundary-layer height,. Bound Layer Meteorol. 1983;26:377–390.
- Grisogono B. A generalized Ekman layer profile with gradually varying eddy diffusivities. Q J R Meteorol Soc. 1995;121:445–453.
- Parmhed O, Kos I, Grisogono B. An improved Ekman layer approximation for smooth eddy diffusivity profiles. Bound Layer Meteorol. 2002;115:399–407.
- Tan ZM. An approximate analytical solution for the baroclinic and variable eddy diffusivity semigeostrophic Ekman boundary layer. Bound Layer Meteorol. 2001;98:361–385.
- Zhang Y, Tan ZM. The diurnal wind variation in a variable eddy viscosity semi-geostrophic Ekman boundary-layer model: analytical study. Meteorol Atmos Phys. 2002;81:207–217.
- Bressan A, Constantin A. The deflection angle of surface ocean currents from the wind direction. J Geophys Res Oceans. 2019;124:7412–7420.
- Constantin A, Dritschel DG, Paldor N. The deflection angle between a wind-forced surface current and the overlying wind in an ocean with vertically varying eddy viscosity. Phys Fluids. 2020;23:116604.
- Dritschel DG, Paldor N, Constantin A. The Ekman spiral for piecewise-uniform diffusivity. Ocean Sci Discuss. 2020;16:1089–1093.
- Constantin A. Frictional effects in wind-driven ocean currents. Geophys Astrophys Fluid Dyn. 2021;115:1–14.
- Roberti L. The surface current of Ekman flows with time-dependent eddy viscosity. Commun Pure Appl Anal. 2022;21:2463–2477.
- Constantin A, Johnson RS. Atmospheric Ekman flows with variable eddy viscosity. Bound Layer Meteorol. 2019;170:395–414.
- Fečkan M, Guan Y, O'Regan D, et al. Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows. Monatsh Math. 2020;193:623–636.
- Guan Y, Wang J, Fečkan M. Explicit solution and dynamical properties of atmospheric Ekman flows with boundary conditions. Electron J Qual Theory Differ Equ. 2021;30:1–19.
- Ionescu-Kruse D. Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. J Math Fluid Mech. 2021;23:18.
- Guan Y, Fečkan M, Wang J. The Ekman spiral for two types of eddy viscosities. Appl Anal. 2022. doi:10.1080/00036811.2022.2044026
- Wang J, Fečkan M, Guan Y. Local and global analysis for discontinuous atmospheric Ekman equations. J Dyn Differ Equ. 2021. doi:10.1007/s10884-021-10037-x
- Guan Y, Fečkan M, Wang J. Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Discrete Contin Dyn Syst. 2021;41:1157–1176.
- Marynets K. Stability analysis of the boundary value problem modelling a two-layer ocean. Commun Pure Appl Anal. 2022;21:2433–2445.
- Constantin A, Johnson RS. On the modelling of large-scale atmospheric flows. J Differ Equ. 2021;285:751–798.
- Constantin A, Johnson RS. On the propagation of waves in the atmosphere. Proc R Soc A. 2021;477:20200424.
- Constantin A, Johnson RS. On the propagation of nonlinear waves in the atmosphere. Proc R Soc A. 2022;478:20210895.
- Yang T, Fečkan M, Wang J. Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: explicit solution and dynamical properties. J Geom Mech. 2022;14:473–490.
- Hartman P. Ordinary differential equations. New York (NY): Wiley; 1964.