On periodic water waves with Coriolis effects and isobaric streamlines

Details On periodic water waves with Coriolis effects and isobaric streamlines On periodic water waves with Coriolis effects and isobaric streamlines

2012-04-23

arxiv.org/abs/1204.4993v1

Mathematics

Analysis of PDEs

To appear in Journal of Nonlinear Mathematical Physics; 15 pages

Scientific paper

In this paper we prove that solutions of the f-plane approximation for
equatorial geophysical deep water waves, which have the property that the
pressure is constant along the streamlines and do not possess stagnation
points,are Gerstner-type waves. Furthermore, for waves traveling over a flat
bed, we prove that there are only laminar flow solutions with these properties.

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