Particle trajectories in solitary water waves

Research output: Contribution to journalArticle

Abstract

Analyzing a free boundary problem for harmonic functions in an infinite planar domain, we prove that in a solitary water wave each particle is transported in the wave direction but slower than the wave speed. As the solitary wave propagates, all particles located ahead of the wave crest are lifted, while those behind it experience a downward motion, with the particle trajectory having asymptotically the same height above the flat bed.

Details

Authors
  • Adrian Constantin
  • Joachim Escher
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • particle trajectory, solitary wave, potential flow
Original languageEnglish
Pages (from-to)423-431
JournalBulletin of the American Mathematical Society
Volume44
Issue number3
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes