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.
Particle trajectories in linear water waves / Gabriele Villari; Adrian Constantin. - In: COMMUNICATIONS TO SIMAI CONGRESS. - ISSN 1827-9015. - STAMPA. - 1:(2006), pp. 1-4. [10.1685/CSC06058]
Particle trajectories in linear water waves
Gabriele Villari;
2006
Abstract
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.File in questo prodotto:
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