Particle Trajectories in Linear Water Waves

Adrian Constantin, Gabriele Villari


We prove that in a linear periodic gravity water waves there are no closed orbit for the water particles in the fluid. Each particle experiences per period a backward-forward motion that leads to a forward drift. This result can be viewed as a more detailed version of the classical theory for the trajectories of particles below a water wave, in which, due to the first order linearization, all particle paths appear to be closed. [DOI: 10.1685 / CSC06058] About DOI

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