On periodic water waves with Coriolis effects and isobaric streamlines

Mathematics – Analysis of PDEs

Scientific paper

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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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