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The trajectories of particles in Stokes waves. (English) Zbl 1108.76013
Summary: Analyzing a free boundary problem for harmonic functions, we show that there are no closed particle paths in an irrotational inviscid traveling wave propagating at the surface of water over a flat bed: within a period each particle experiences a backward-forward motion with a slight forward drift.

MSC:
76B15Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q35PDEs in connection with fluid mechanics
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