A unique continuation principle for steady symmetric water waves with vorticity

DOI10.2991/jnmp.2006.13.4.3zbMath1121.76011OpenAlexW2089182134MaRDI QIDQ3432974

Mats Ehrnström

Publication date: 19 April 2007

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

Full work available at URL: https://doi.org/10.2991/jnmp.2006.13.4.3

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (4)

Linear water waves with vorticity: Rotational features and particle paths ⋮ Regularity of traveling free surface water waves with vorticity ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ A new formulation of the water wave problem for Stokes waves of constant vorticity

Cites Work

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• Exact periodic traveling water waves with vorticity
• A uniqueness result for periodic traveling waves in water of finite depth
• Symmetry of steady deep-water waves with vorticity
• A Note on Surface Profiles for Symmetric Gravity Waves with Vorticity
• A Modern Introduction to the Mathematical Theory of Water Waves
• Exact steady periodic water waves with vorticity
• Uniqueness for Autonomous Planar Differential Equations and the Lagrangian Formulation of Water Flows with Vorticity
• Uniqueness of Steady Symmetric Deep-Water Waves with Vorticity
• Symmetry of steady periodic surface water waves with vorticity

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