TY - JOUR
T1 - On three-dimensional Gerstner-like equatorial water waves
AU - Henry, D.
N1 - Publisher Copyright:
© 2017 The Author(s) Published by the Royal Society. All rights reserved.
PY - 2018/1/28
Y1 - 2018/1/28
N2 - 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’.
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’.
KW - Exact solution
KW - Geophysical water waves
KW - Gerstner’s wave
KW - Wave–current interactions
UR - https://www.scopus.com/pages/publications/85037718821
U2 - 10.1098/rsta.2017.0088
DO - 10.1098/rsta.2017.0088
M3 - Review article
C2 - 29229788
AN - SCOPUS:85037718821
SN - 1364-503X
VL - 376
JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
IS - 2111
M1 - 20170088
ER -