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- W2771479688 abstract "We are concerned here with geophysical water waves arising as the free surface of water flows governed by the f -plane approximation. Allowing for an arbitrary bounded discontinuous vorticity, we prove the existence of steady periodic two-dimensional waves of small amplitude. We illustrate the local bifurcation result by means of an analysis of the dispersion relation for a two-layered fluid consisting of a layer of constant non-zero vorticity γ 1 adjacent to the surface situated above another layer of constant non-zero vorticity γ 2 ≠ γ 1 adjacent to the bed. For certain vorticities γ 1 , γ 2 , we also provide estimates for the wave speed c in terms of the speed at the surface of the bifurcation inducing laminar flows. This article is part of the theme issue ‘Nonlinear water waves’." @default.
- W2771479688 created "2017-12-22" @default.
- W2771479688 creator A5083166482 @default.
- W2771479688 date "2017-12-11" @default.
- W2771479688 modified "2023-09-25" @default.
- W2771479688 title "On periodic geophysical water flows with discontinuous vorticity in the equatorial <i>f</i> -plane approximation" @default.
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- W2771479688 doi "https://doi.org/10.1098/rsta.2017.0096" @default.
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