A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current

DOI10.1007/s00605-019-01332-3zbMath1440.35256arXiv2010.09389OpenAlexW2972459623WikidataQ95275819 ScholiaQ95275819MaRDI QIDQ2187962

Calin Iulian Martin, Ronald Quirchmayr

Publication date: 3 June 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09389

zbMATH Keywords

variable densitygeophysical fluid dynamicseddy viscosityazimuthal flowsAntarctic Circumpolar Current

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Geophysical flows (76U60)

Related Items (9)

Geophysical water flows with constant vorticity and centripetal terms ⋮ A cylindrical coordinates approach concerning azimuthal geophysical flows ⋮ Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates ⋮ An exact solution representing equatorial wind-drift currents with depth-dependent continuous stratification ⋮ Positive solutions to integral boundary value problems from geophysical fluid flows ⋮ Multiple solutions for an elliptic equation from the antarctic circumpolar current ⋮ On the nonlocal boundary value problem of geophysical fluid flows ⋮ An analysis of some exact solutions for stratified wind-stress flows with centripetal effects ⋮ Some explicit solutions of the three-dimensional Euler equations with a free surface

Cites Work

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• Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
• Gerstner waves in the presence of mean currents and rotation
• Surface waves with rotation: An exact solution
• The dynamics of waves interacting with the Equatorial Undercurrent

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