The pressure distribution in extreme Stokes waves

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13 Citations (Scopus)

Abstract

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
Volume31
DOIs
Publication statusPublished - 01 Oct 2016

Keywords

  • Euler's equation
  • Maximum principles
  • Weak solutions

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