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ON PERIODIC WATER WAVES WITH CORIOLIS EFFECTS AND ISOBARIC STREAMLINES

ANCA-VOICHITA MATIOC

Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria

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and

BOGDAN-VASILE MATIOC

Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria

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https://doi.org/10.1142/S1402925112400098Cited by:0 (Source: Crossref)

Abstract

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.

Keywords:

AMSC: Primary: 76B15, Secondary: 37N10

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