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ON CONSTANT VORTICITY FLOWS BENEATH TWO-DIMENSIONAL SURFACE SOLITARY WAVES

RAPHAEL STUHLMEIER

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

https://doi.org/10.1142/S1402925112400049Cited by:0 (Source: Crossref)

Abstract

We demonstrate that, for a two-dimensional, steady, solitary wave profile, a flow of constant vorticity beneath the wave must likewise be steady and two-dimensional, and the vorticity will point in the direction orthogonal to that of wave propagation. Constant vorticity is the hallmark of a harmonic velocity field, and the simplified vorticity equation is used along with maximum principles to derive the results.

Keywords:

AMSC: 76B25, 35Q31

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