The Asymptotic Behavior Near the Crest of Waves of Extreme Form

DOI10.2307/2000495zbMath0617.76016OpenAlexW4233256857MaRDI QIDQ4728448

John Bryce McLeod

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000495

zbMATH Keywords

nonlinear integral equationsasymptotic analysiswater wavescrestbidimensional, gravitational, vertical mouvementextreme wave angle

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotics of solutions to integral equations (45M05) Singular nonlinear integral equations (45G05)

Related Items

On the existence of non-flat profiles for a Bernoulli free boundary problem ⋮ A constructive existence proof for the extreme Stokes wave ⋮ On the local uniqueness and the profile of the extreme Stokes wave ⋮ The behaviour near the crest of an extreme Stokes wave ⋮ On rotational waves of limit amplitude ⋮ Extreme water-wave profile recovery from pressure measurements at the seabed ⋮ Structure and location of branch point singularities for Stokes waves on deep water ⋮ A tale of two Nekrasov's integral equations ⋮ Almost extreme waves

Cites Work

• Unnamed Item
• On the Stokes conjecture for the wave of extreme form
• On the Behavior Near the Crest of Waves of Extreme Form

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