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.
2006
Gabriele Villari; Adrian Constantin
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1263521
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