Steady water waves with multiple critical layers: interior dynamics

Details Steady water waves with multiple critical layers: interior dynamics Steady water waves with multiple critical layers: interior dynamics

2010-04-29

arxiv.org/abs/1004.5237v2

Physics

Mathematical Physics

14 pages, 3 figures. As accepted for publication in J. Math. Fluid Mech

Scientific paper

We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat's-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.

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