On periodic water waves with Coriolis effects and isobaric streamlines

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.

To appear in Journal of Nonlinear Mathematical Physics; 15 pages

References in corpus (1)

• Particle trajectories in linearized irrotational shallow water flows

Cited by in corpus (2)

• Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates
• Internal Gerstner waves: applications to dead water