The Benjamin-Lighthill conjecture for steady water waves (revisited)

DOI10.1007/s00205-011-0397-zzbMath1320.76021OpenAlexW2045393264WikidataQ123009192 ScholiaQ123009192MaRDI QIDQ715306

Nikolay Kuznetsov, Vladimir A. Kozlov

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-011-0397-z

zbMATH Keywords

solitary waveStokes wavenear-critical Bernoulli constant

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (8)

On the Benjamin–Lighthill conjecture for water waves with vorticity ⋮ Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows ⋮ Babenko's equation for periodic gravity waves on water of finite depth: derivation and numerical solution ⋮ Bounds for steady water waves with vorticity ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ No steady water waves of small amplitude are supported by a shear flow with a still free surface ⋮ On the amplitude and the flow force constant of steady water waves ⋮ Steady water waves with vorticity: spatial Hamiltonian structure

Cites Work

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• Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth
• Water waves and conjugate streams
• Verification of the Benjamin–Lighthill conjecture about steady water waves
• Bernoulli free-boundary problems
• A Note on Harmonic Functions and a Hydrodynamical Application
• On cnoidal waves and bores

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