Two-dimensionality of gravity water flows governed by the equatorial \(f\)-plane approximation

DOI10.1007/S10231-017-0663-2zbMath1382.35202OpenAlexW2607188340WikidataQ59607338 ScholiaQ59607338MaRDI QIDQ1681839

Calin Iulian Martin

Publication date: 24 November 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-017-0663-2

zbMATH Keywords

vorticity\(f\)-plane approximationgravity wave trains

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items (13)

On the nonlinear three-dimensional models in equatorial ocean flows ⋮ On three-dimensional free surface water flows with constant vorticity ⋮ Resonant interactions of rotational water waves in the equatorial f-plane approximation ⋮ On periodic geophysical water flows with discontinuous vorticity in the equatorial f -plane approximation ⋮ On three-dimensional geophysical capillary-gravity water flows with constant vorticity ⋮ On the time evolution of the velocity in equatorial ocean waves approaching breaking ⋮ Constant vorticity equatorial flows beneath surface solitary waves with centripetal forces ⋮ Modelling the effect of submarine volcanic eruption on equatorial oceanic flows ⋮ Constant vorticity water flows in the equatorial \(\beta\)-plane approximation with centripetal forces ⋮ A cylindrical coordinates approach to constant vorticity geophysical waves with centripetal forces at arbitrary latitude ⋮ Rigidity of three-dimensional steady internal waves with constant vorticity governed by the \(f\)-plane approximation ⋮ Constant vorticity atmospheric Ekman flows in the \( f\)-plane approximation ⋮ Constant vorticity water flows in the modified equatorial \(\beta\)-plane approximation

Cites Work

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• On Gerstner's Water Wave
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• On Constant Vorticity Flows Beneath Two-Dimensional Surface Solitary Waves
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