Internal equatorial water waves in the f−plane

DOI10.1080/14029251.2015.1113046zbMath1421.76034OpenAlexW1939491132MaRDI QIDQ5231003

David Henry

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2015.1113046

zbMATH Keywords

exact solutions\(f\)-planegeophysicaltransverse currentinternal water waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (23)

On irrotational flows beneath periodic traveling equatorial waves ⋮ Exact and explicit internal equatorial water waves with underlying currents ⋮ Exact nonlinear internal equatorial waves in the \(f\)-plane ⋮ Hamiltonian structure for rotational capillary waves in stratified flows ⋮ Equatorial water waves with underlying currents in the f-plane approximation ⋮ Particle paths in equatorial flows ⋮ Hamiltonian model for coupled surface and internal waves in the presence of currents ⋮ Global diffeomorphism of the Lagrangian flow-map for equatorially-trapped internal water waves ⋮ Exact Pollard-like internal water waves ⋮ On three-dimensional Gerstner-like equatorial water waves ⋮ Shallow water equations for equatorial tsunami waves ⋮ Internal equatorial water waves and wave-current interactions in the \(f\)-plane ⋮ On three-dimensional geophysical capillary-gravity water flows with constant vorticity ⋮ On nonlinearity in three-dimensional equatorial flows ⋮ Exact internal waves in the presence of mean currents and rotation ⋮ Exact solutions modelling nonlinear atmospheric gravity waves ⋮ Pollard waves with underlying currents ⋮ Physical flow properties for Pollard-like internal water waves ⋮ Azimuthal equatorial capillary-gravity flows in spherical coordinates ⋮ Exact steady azimuthal internal waves in the \(f\)-plane ⋮ Free-surface capillary-gravity azimuthal equatorial flows ⋮ An exact solution for geophysical internal waves with underlying current in modified equatorial β-plane approximation* ⋮ On the existence of solutions and the pressure function related to the antarctic circumpolar current

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• An exact solution for geophysical equatorial edge waves over a sloping beach
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• Edge waves along a sloping beach
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• On Gerstner's Water Wave
• Exact geophysical waves in stratified fluids
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