On the existence of equatorial wind waves

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2014-NAa-Henry-Matioc.pdf(368.52 KB)
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Date
2014-02-20
Authors
Henry, David
Matioc, Anca-Voichita
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Elsevier
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Abstract
In this paper we apply local bifurcation theory to prove the existence of steady, periodic, two-dimensional surface water waves in the equatorial region which have a general underlying vorticity distribution. Furthermore, we derive explicit dispersion relations for the flow in the case where the vorticity is constant.
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Keywords
Geophysical flow , Free-boundary , General vorticity , Existence
Citation
Henry, D. and Matioc, A.-V. (2014) 'On the existence of equatorial wind waves', Nonlinear Analysis: Theory, Methods & Applications, 101, pp. 113-123.