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DISPERSION RELATIONS FOR STEADY PERIODIC WATER WAVES OF FIXED MEAN-DEPTH WITH AN ISOLATED BOTTOM VORTICITY LAYER

DAVID HENRY

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

https://doi.org/10.1142/S1402925112400074Cited by:0 (Source: Crossref)

Abstract

In this paper we obtain the dispersion relations for small-amplitude steady periodic water waves, which propagate over a flat bed with a specified mean depth, and which exhibit discontinuous vorticity. We take as a model an isolated layer of constant nonzero vorticity adjacent to the flat bed, with irrotational flow above the layer.

Keywords:

AMSC: 35Q31, 76D33, 34B05

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