A three-dimensional autonomous nonlinear dynamical system modelling equatorial ocean flows

DOI10.1016/J.JDE.2017.12.021zbMath1386.35403OpenAlexW2779170661MaRDI QIDQ683487

Delia Ionescu-Kruse

Publication date: 6 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.021

zbMATH Keywords

Euler equationequatorial ocean flowsnonlinear three-dimensional solutions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Free boundary problems for PDEs (35R35) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items (14)

Exact solution and instability for geophysical waves with centripetal forces and at arbitrary latitude ⋮ 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 ⋮ Pollard waves with underlying currents ⋮ A cylindrical coordinates approach concerning the Antarctic Circumpolar Current ⋮ Instability of geophysical flows at arbitrary latitude ⋮ Exponential profiles producing genuine three-dimensional nonlinear flows relevant for equatorial ocean dynamics ⋮ Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates ⋮ The modeling of the equatorial undercurrent using the Navier–Stokes equations in rotating spherical coordinates ⋮ Exact solution and instability for geophysical waves in modified equatorial \(\beta\)-plane approximation with and without centripetal forces ⋮ A hyperbolic-type azimuthal velocity model for equatorial currents ⋮ On the Cauchy problem for the shallow-water model with the Coriolis effect ⋮ Exact azimuthal equatorially trapped waves with centripetal force in modified equatorial \(\beta\)-plane approximation and at arbitrary latitude

Cites Work

• Unnamed Item
• Instability of equatorially trapped waves in stratified water
• An exact solution for equatorial geophysical water waves with an underlying current
• Instability of internal equatorial water waves
• Instability of equatorial water waves with an underlying current
• On three-dimensional Gerstner-like equatorial water waves
• On the short-wavelength stabilities of some geophysical flows
• Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography
• 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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