Extrema of the dynamic pressure in a solitary wave

François Genoud

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.


Original languageEnglish
Pages (from-to)65-71
Number of pages7
JournalNonlinear Analysis: Theory, Methods & Applications
Volume155
DOIs
Publication statusPublished - 2017

Keywords

  • Dynamic pressure
  • Incompressible Euler equation
  • Solitary waves

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