On three-dimensional Gerstner-like equatorial water waves

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2018-PhilTrans-Henry.pdf(366.64 KB)
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Date
2017-12-11
Authors
Henry, David
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Publisher
The Royal Society
Published Version
10.1098/rsta.2017.0088
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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.
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Keywords
Geophysical water waves , Exact solution , Wave-current interactions , Gerstner's wave
Citation
Henry, D. (2018) 'On three-dimensional Gerstner-like equatorial water waves', Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 376:21111, (16 ppp). doi: 10.1098/rsta.2017.0088
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http://hdl.handle.net/10468/12181
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Mathematical Sciences- Journal Articles
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© 2017 The Author(s) Published by the Royal Society.