References
- Delia IK. Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. J Math Fluid Mech. 2021;23:Article ID 18.
- Holton JR. An introduction to dynamic metorology. New York (NY): Academic Press; 2004.
- Marshall J, Plumb RA. Atmosphere, ocean and climate dynamic, an introduction. New York (NY): Academic Press; 2018.
- Zdunkowski W, Bott A. Dynamic of the atmosphere. Cambridge: Cambridge University Press; 2003.
- Pedlosky J. Geophysical fluid dynamic. New York (NY): Springer-Verlag Press; 1987.
- Henry D. Nonlinear features of equatorial ocean flows. Oceanography. 2018;31:22–27.
- 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:Article ID 021401.
- Johnson GC, McPhaden MJ, Firing E. Equatorial pacific ocean horizontal velocity, divergence, and upwelling. J Phys Oceanogr. 2001;31:839–849.
- Constantin A, Ivanov RI. Equatorial wave-current interactions. Commun Math Phys. 2019;370:1–48.
- Constantin A, Johnson RS. The dynamics of waves interacting with the equatorial undercurrent. Geophys Astrophys Fluid Dyn. 2015;109:311–358.
- Constantin A, Johnson RS. Steady large-scale ocean flows in spherical coordinates. Oceanography.2018;31:42–50.
- Delia IK, Martin CI. Periodic equatorial water flows from a Hamiltonian perspective. Int J Differ Equ. 2017;262:4451–4474.
- Ekman VW. On the influence of the earth's rotation on ocean-currents. Ark Mat Astr. 1905;2:1–52.
- Constantin A, Johnson RS. On the nonlinear, three-dimensional structure of equatorial oceanic flows. J Phys Oceanogr. 2019;49:2029–2042.
- Yoshikawa Y, Masuda A. Seasonal variations in the speed factor and deflection angle of the wind-driven surface flow in the Tsushima strait. J Geophys Res. 2009;114:C12022.
- Bressan A, Constantin A. The deflection angle of surface ocean currents from the wind direction. J Geophys Res Oceans. 2019;124:7412–7420.
- Grisogono B. The angle of the near-surface wind-turning in weakly stable boundary layers. Q J R Meteorol Soc. 2011;137:700–708.
- Marynets K. A Sturm-Lipuville problem arising in the atmospheric boundary-layer dynamics. J Math Fluid Mech. 2020;22:Article ID 41.
- Constantin A, Johnson RS. Atmospheric Ekman flows with variable eddy viscosity. Boundary Layer Meteorol. 2019;170:395–414.
- 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.
- Fečkan M, Guan Y, O'Regan D, et al. Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows. Electron J Qual Theory Differ Equ. 2020;193:623–636.
- Guan Y, Fečkan M, Wang J. Periodic solutions and Hyers-ulam stability of atmospheric Ekman flows. Discrete Contin Dyn Syst Ser A. 2021;41:1157–1176.
- 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
- Constantin A. Frictional effects in wind-driven ocean currents. Geophys Astrophys Fluid Dyn. 2021;115:1–14.
- 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;32:Article ID 116604.
- Roberti L. Perturbation analysis for the surface deflection angle of Ekman-type flows with variable eddy viscosity. J Math Fluid Mech. 2021;23:Article ID 57.
- Madsen OS, Secher O. A realistic model of the wind-induced boundary layer. J Phys Oceanogr. 1977;7:248–255.
- Dritschel DG, Paldor N, Constantin A. The Ekman spiral for piecewise-uniform viscosity. Ocean Sci. 2020;16:1089–1093.
- Roberti L. The Ekman spiral for piecewise-constant eddy viscosity. Appl Anal. 2021. DOI:10.1080/00036811.2021.1896709
- Miles J. Analytical solutions for the Ekman layer. Boundary Layer Meteorol. 1994;67:1–10.