Steady water waves with multiple critical layers

Mats Ehrnstroem, Joachim Escher, Erik Wahlén

Research output: Contribution to journalArticlepeer-review

44 Citations (SciVal)


We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady two-dimensional finite-depth gravity water waves with vorticity.
Original languageEnglish
Pages (from-to)1436-1456
JournalSIAM Journal on Mathematical Analysis
Issue number3
Publication statusPublished - 2011

Subject classification (UKÄ)

  • Mathematics


  • steady water waves
  • critical layers
  • vorticity
  • two-dimensional
  • bifurcation


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