Particle Trajectories in Linear Water Waves

Adrian Constantin, Gabriele Villari

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. [DOI: 10.1685 / CSC06058] About DOI

Full Text:

PDF


DOI: http://dx.doi.org/10.1685/




Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License