On periodic water waves with Coriolis effects and isobaric streamlines

Anca-Voichita Matioc, Bogdan-Vasile Matioc

Published 2012-04-23Version 1

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.