The pressure distribution in extreme Stokes waves

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.

14 pages, Accepted for publication in Nonlinear Analysis: Real World Applications

References in corpus (1)

• The pressure in a deep-water Stokes wave of greatest height

Cited by in corpus (4)

• Extreme water wave profile recovery from pressure measurements at the seabed
• Geophysical internal equatorial waves of extreme form
• Pressure transfer functions for interfacial fluid problems
• The dynamic pressure in deep-water extreme Stokes waves