The modeling of the equatorial undercurrent using the Navier–Stokes equations in rotating spherical coordinates

DOI10.1080/00036811.2019.1673375zbMath1486.35388OpenAlexW2978348777WikidataQ127216181 ScholiaQ127216181MaRDI QIDQ4958368

Kateryna Marynets

Publication date: 7 September 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1673375

zbMATH Keywords

vorticityboundary-value problemviscositygeophysical flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Second-order elliptic equations (35J15) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Related Items (5)

On the nonlinear three-dimensional models in equatorial ocean flows ⋮ A Sturm-Liouville problem arising in the atmospheric boundary-layer dynamics ⋮ A hyperbolic-type azimuthal velocity model for equatorial currents ⋮ The Ekman spiral for piecewise-constant eddy viscosity ⋮ A boundary-value problem arising in the modelling of equatorial wind-drift currents

Cites Work

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• Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
• On the existence of free-surface azimuthal equatorial flows
• The dynamics of waves interacting with the Equatorial Undercurrent
• Equatorial wave-current interactions

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