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arXiv · 1006.1462

Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth

V. P. Ruban
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Abstract

Exact Lagrangian in compact form is derived for planar internal waves in a two-fluid system with a relatively small density jump (the Boussinesq limit taking place in real oceanic conditions), in the presence of a background shear current of constant vorticity, and over arbitrary bottom profile. Long-wave asymptotic approximations of higher orders are derived from the exact Hamiltonian functional in a remarkably simple way, for two different parametrizations of the interface shape.

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V. P. Ruban. 2010-07-03. Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth. https://doi.org/10.1134/s002136401015004x

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