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On the particle motion in geophysical deep water waves traveling over uniform currents

We describe a family of exact Gerstner type solutions for the geophysical equatorial deep water wave problem in the f-plane approximation. These Gerstner type waves are two-dimensional and travel with constant speed over a uniform horizontal current. The particle paths in the presence and absence of the Coriolis force are also analyzed in dependence of the current strength.

preprint2012arXivOpen access
Anca-Voichita Matioc
math.AP
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Anca-Voichita Matioc

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