Symmetry of steady periodic water waves with vorticity

Research output: Contribution to journalArticle


The symmetry and monotonicity properties of steady periodic gravity water waves are established for arbitrary vorticities if the wave profile is monotone near the trough and every streamline attains a minimum below the trough. The proof uses the method of moving planes.

Original languageEnglish (US)
Pages (from-to)2203-2214
Number of pages12
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number1858
StatePublished - Sep 15 2007
Externally publishedYes


  • Maximum principles
  • Nonlinear elliptic
  • Symmetry
  • Vorticity
  • Water waves

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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