An exact solution for equatorial geophysical water waves with an underlying current

By David Henry. 2013

198 citations recorded by the source corpus.

Abstract In this paper we present an exact solution to the governing equations for equatorial geophysical water waves which admit an underlying current.

Subfields: Atmospheric Science, Oceanography

View Paper: https://www.semanticscholar.org/paper/11d1a4115c32898c870a83f382c1e8a07075dceb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atmospheric Science

1. R. Johnson
2. Adrian Constantin

In Oceanography

1. Adrian Constantin
2. R. Johnson
3. David Henry
4. Yue Liu
5. Zhaoyang Yin
6. Eugen Varvaruca
7. Erik Wahlén
8. Yong Zhou

Citations in the corpus

• An Exact, Steady, Purely Azimuthal Flow as a Model for the Antarctic Circumpolar Current (2016, background): “approximation close to a fixed latitude (as in Pollard 1970; Mollo-Christensen 1979) or, for equatorial flows, the b-plane approximation (see Constantin 2012, 2014; Henry 2013; Hsu 2014; Ionescu-Kruse 2015).”
• The dynamics of waves interacting with the Equatorial Undercurrent (2015, methodology): “For a meridional width of 300 km, the values (38) predict a mass transport of about 40 Sv (1 Sv = 106 m3 s−1), thus corroborating the realistic nature of our model (see the field data in Izumo (2013)).”
• Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves (2014, background): “…periodic gravity water wave, where the particle paths are open loops in the absence of a current, and closed particle paths can only occur at a certain depth and only if there is a sufficiently strong adverse uniform current (see Constantin 2006; Henry 2008; Constantin and Strauss 2010).”
• An Exact, Steady, Purely Azimuthal Equatorial Flow with a Free Surface (2016, background): “A general introduction to these types of flows can be found in McCreary (1985), McPhaden et al.”