A modified equatorial \(\beta\)-plane approximation modelling nonlinear wave-current interactions
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Publication:2358708
DOI10.1016/J.JDE.2017.04.007zbMath1365.76020OpenAlexW2605663738MaRDI QIDQ2358708
Publication date: 15 June 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.04.007
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (20)
Exact solution and instability for geophysical waves with centripetal forces and at arbitrary latitude ⋮ Instability of nonlinear wave-current interactions in a modified equatorial \(\beta\)-plane approximation ⋮ Exact solution and instability for geophysical edge waves ⋮ On three-dimensional Gerstner-like equatorial water waves ⋮ On three-dimensional geophysical capillary-gravity water flows with constant vorticity ⋮ Geophysical water flows with constant vorticity and centripetal terms ⋮ On nonlinearity in three-dimensional equatorial flows ⋮ A nonlinear two-point boundary-value problem in geophysics ⋮ On constant vorticity water flows in the -plane approximation ⋮ Global Diffeomorphism of the Lagrangian Flow-map for a Pollard-like Internal Water Wave ⋮ Pollard waves with underlying currents ⋮ Instability of geophysical flows at arbitrary latitude ⋮ Global diffeomorphism of the Lagrangian flow-map for Pollard-like solutions ⋮ An exact solution for geophysical internal waves with underlying current in modified equatorial β-plane approximation* ⋮ Constant vorticity Ekman flows in the \(\beta\)-plane approximation ⋮ Exact solution and instability for geophysical waves in modified equatorial \(\beta\)-plane approximation with and without centripetal forces ⋮ Instability of equatorially-trapped nonhydrostatic internal geophysical water waves ⋮ Constant vorticity atmospheric Ekman flows in the \( f\)-plane approximation ⋮ Exact azimuthal equatorially trapped waves with centripetal force in modified equatorial \(\beta\)-plane approximation and at arbitrary latitude ⋮ Constant vorticity water flows in the modified equatorial \(\beta\)-plane approximation
Cites Work
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- Instability of equatorially trapped waves in stratified water
- An exact solution for equatorial geophysical water waves with an underlying current
- Mean flow velocities and mass transport for equatorially-trapped water waves with an underlying current
- An exact solution for geophysical edge waves in the \(\beta\)-plane approximation
- Instability of internal equatorial water waves
- Instability of equatorial water waves with an underlying current
- Some nonlinear internal equatorial flows
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Lagrangian Fluid Dynamics
- Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
- The dynamics of waves interacting with the Equatorial Undercurrent
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