On the dynamics of internal waves interacting with the equatorial undercurrent

2015/10/14 by Alan Compelli, Rossen Ivanov · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #physics.flu-dyn #physics.geo-ph #msc:35Q35 #msc:37K05 #msc:74J30

paper · pdf · doi:10.1080/14029251.2015.1113052

published as Journal of Nonlinear Mathematical Physics 22 (2015) pages 531-539 · 11 pages, 1 figure, accepted in Journal of Nonlinear Mathematical Physics

arxiv created 2015/10/14 · arxiv updated 2016/07/04

Abstract

The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.

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• Benjamin-Ono dynamics of internal waves with currents

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