Uniqueness of Steady Symmetric Deep-Water Waves with Vorticity

DOI10.2991/jnmp.2005.12.1.4zbMath1067.35070OpenAlexW1965631025MaRDI QIDQ4673229

Mats Ehrnström

Publication date: 29 April 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.908.4840

zbMATH Keywords

surface profilewave motionvorticity distribution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Local bifurcation of steady almost periodic water waves with constant vorticity ⋮ Periodic capillary-gravity water waves of small amplitude ⋮ Linear water waves with vorticity: Rotational features and particle paths ⋮ Local bifurcation for steady periodic capillary water waves with constant vorticity ⋮ Particle trajectories in linear deep-water waves ⋮ Steady periodic capillary waves with vorticity ⋮ Steady water waves with a critical layer ⋮ Singularities of Bernoulli Free Boundaries ⋮ A Note on Surface Profiles for Symmetric Gravity Waves with Vorticity ⋮ A unique continuation principle for steady symmetric water waves with vorticity

Cites Work

• Stokes waves
• Exact periodic traveling water waves with vorticity
• An experimental study of two-dimensional surface water waves propagating on depth-varying currents. Part 1. Regular waves
• A Modern Introduction to the Mathematical Theory of Water Waves
• Symmetry of steady periodic surface water waves with vorticity
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