On behaviour of free-surface profiles for bounded steady water waves
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Publication:935280
DOI10.1016/j.matpur.2008.02.013zbMath1141.76015OpenAlexW2033635774MaRDI QIDQ935280
Vladimir A. Kozlov, Nikolay Kuznetsov
Publication date: 6 August 2008
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2008.02.013
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items (6)
Fundamental bounds for steady water waves ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ On behaviour of free-surface profiles for bounded steady water waves ⋮ No steady water waves of small amplitude are supported by a shear flow with a still free surface ⋮ 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
- Traveling gravity water waves in two and three dimensions.
- Analysis and Computation of Symmetry-Breaking Bifurcation and Scaling Laws Using Group-Theoretic Methods
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- The Froude number for solitary waves
- Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
- Water waves and conjugate streams
- Steady Water Waves
- Verification of the Benjamin–Lighthill conjecture about steady water waves
- A Note on Harmonic Functions and a Hydrodynamical Application
- Unnamed Item
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