Steady water waves with multiple critical layers: interior dynamics

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.

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

References in corpus (3)

• Steady periodic water waves with constant vorticity: regularity and local bifurcation
• Particle trajectories in linearized irrotational shallow water flows
• Steady periodic gravity waves with surface tension

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