Deep-water waves with vorticity: Symmetry and rotational behaviour

Mats Ehrnström

Research output: Contribution to journalArticlepeer-review

Abstract

We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.
Original languageEnglish
Pages (from-to)483-491
JournalDiscrete and Continuous Dynamical Systems. Series A
Volume19
Issue number3
Publication statusPublished - 2007

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • nonlinear partial differential
  • vorticity
  • symmetry
  • water waves
  • equation

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