On the Behavior Near the Crest of Waves of Extreme Form

DOI10.2307/2000494zbMath0617.76015OpenAlexW4255977471MaRDI QIDQ4728447

L. Edward Fraenkel, Charles J. Amick

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000494

zbMATH Keywords

free surfacenonlinear integral equationvelocity potentialideal liquidvertical planebidimensional gravity waveslocal 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, Numerical computation of water and solitary waves by the double exponential transform., Bounds for water waves, The Asymptotic Behavior Near the Crest of Waves of Extreme Form, A constructive existence proof for the extreme Stokes wave, On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions, Global bifurcation and highest waves on water of finite depth, On the Stokes conjecture for the wave of extreme form, 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, A rigidity phenomenon for the Hardy–Littlewood maximal function, 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

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