The pressure distribution in extreme Stokes waves

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13 Citations (Scopus)


In this paper we prove that the pressure beneath an extreme Stokes wave over finite depth is strictly increasing with depth. Additionally it is shown that the pressure decreases in moving between a crest-line and trough-line, while it is stationary with respect to the horizontal coordinate along these lines themselves.

Original languageEnglish
Pages (from-to)77-87
Number of pages11
JournalNonlinear Analysis: Real World Applications
Publication statusPublished - 01 Oct 2016


  • Euler's equation
  • Maximum principles
  • Weak solutions


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