Abstract
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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Ehrnström, M., Escher, J. & Villari, G. Steady Water Waves with Multiple Critical Layers: Interior Dynamics. J. Math. Fluid Mech. 14, 407–419 (2012). https://doi.org/10.1007/s00021-011-0068-8
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DOI: https://doi.org/10.1007/s00021-011-0068-8