On three-dimensional Gerstner-like equatorial water waves

D. Henry

doi:10.1098/rsta.2017.0088

On three-dimensional Gerstner-like equatorial water waves

D. Henry

School of Mathematical Sciences

Research output: Contribution to journal › Review article › peer-review

Abstract

This paper reviews some recent mathematical research activity in the field of nonlinear geophysical water waves. In particular, we survey a number of exact Gerstner-like solutions which have been derived to model various geophysical oceanic waves, and wave–current interactions, in the equatorial region. These solutions are nonlinear, three-dimensional and explicit in terms of Lagrangian variables. This article is part of the theme issue ‘Nonlinear water waves’.

Original language	English
Article number	20170088
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	376
Issue number	2111
DOIs	https://doi.org/10.1098/rsta.2017.0088
Publication status	Published - 28 Jan 2018

Keywords

Exact solution
Geophysical water waves
Gerstner’s wave
Wave–current interactions

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10.1098/rsta.2017.0088

Cite this

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AB - This paper reviews some recent mathematical research activity in the field of nonlinear geophysical water waves. In particular, we survey a number of exact Gerstner-like solutions which have been derived to model various geophysical oceanic waves, and wave–current interactions, in the equatorial region. These solutions are nonlinear, three-dimensional and explicit in terms of Lagrangian variables. This article is part of the theme issue ‘Nonlinear water waves’.

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KW - Geophysical water waves

KW - Gerstner’s wave

KW - Wave–current interactions

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DO - 10.1098/rsta.2017.0088

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On three-dimensional Gerstner-like equatorial water waves

Abstract

Keywords

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