Fundamental bounds for steady water waves

DOI10.1007/s00208-009-0370-4zbMath1173.35126OpenAlexW2109201171MaRDI QIDQ842376

Nikolay Kuznetsov, Vladimir A. Kozlov

Publication date: 25 September 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0370-4

zbMATH Keywords

free-boundary problemBernoulli's constanthorizontal open channelsteady gravity waves

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35)

Related Items (7)

On bounds and non-existence in the problem of steady waves with vorticity ⋮ Global bifurcation and highest waves on water of finite depth ⋮ On the Benjamin–Lighthill conjecture for water waves with vorticity ⋮ Babenko's equation for periodic gravity waves on water of finite depth: derivation and numerical solution ⋮ Bounds for steady water waves with vorticity ⋮ The Benjamin-Lighthill conjecture for steady water waves (revisited) ⋮ The Benjamin-Lighthill conjecture for near-critical values of Bernoulli's constant

Cites Work

• On behaviour of free-surface profiles for bounded steady water waves
• On solitary water-waves of finite amplitude
• On the Stokes conjecture for the wave of extreme form
• The sub-harmonic bifurcation of Stokes waves
• Bounds for arbitrary steady gravity waves on water of finite depth
• Some new gravity waves in water of finite depth
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• Water waves and conjugate streams
• Non–existence of solitary water waves in three dimensions
• Verification of the Benjamin–Lighthill conjecture about steady water waves
• A Note on Harmonic Functions and a Hydrodynamical Application
• On cnoidal waves and bores

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