On the time evolution of the velocity in equatorial ocean waves approaching breaking

DOI10.1007/s00028-017-0413-3zbMath1398.35155OpenAlexW2765755733MaRDI QIDQ1670263

Publication date: 5 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00028-017-0413-3

zbMATH Keywords

Coriolis force time evolution rotational surface gravity waves \(f\)-plane approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Maximum principles in context of PDEs (35B50) General theory of rotating fluids (76U05) Free boundary problems for PDEs (35R35) Euler equations (35Q31)

Related Items (1)

Perturbation analysis of nonlinear partial reflected wave on a sloping bottom

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On the maximal horizontal surface velocity for a rotational water wave near breaking
On the symmetry of equatorial travelling water waves with constant vorticity and stagnation points
On the symmetry of periodic gravity water waves with vorticity.
Azimuthal equatorial capillary-gravity flows in spherical coordinates
Exact equatorial water waves in the \(f\)-plane
Wave breaking for nonlinear nonlocal shallow water equations
Elliptic partial differential equations of second order
Two-dimensionality of gravity water flows governed by the equatorial \(f\)-plane approximation
On irrotational flows beneath periodic traveling equatorial waves
Small-amplitude equatorial water waves with constant vorticity: dispersion relations and particle trajectories
A characterization of the symmetric steady water waves in terms of the underlying flow
On the existence of equatorial wind waves
Symmetry of steady periodic gravity water waves with vorticity
On the symmetry of steady equatorial wind waves
Symmetry of steady deep-water waves with vorticity
The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking
Symmetry of steady periodic surface water waves with vorticity
Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
Pressure beneath a Stokes wave
A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude
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

This page was built for publication: On the time evolution of the velocity in equatorial ocean waves approaching breaking