Inventiones mathematicae

, Volume 166, Issue 3, pp 523–535

The trajectories of particles in Stokes waves

Original article


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.


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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.School of MathematicsTrinity CollegeDublinIreland
  2. 2.Department of MathematicsLund UniversityLundSweden

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