On the regularity of capillary water waves with vorticity

DOI10.1016/J.CRMA.2010.12.013zbMath1216.35096OpenAlexW1996249721MaRDI QIDQ627746

David Henry

Publication date: 3 March 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.12.013

zbMATH Keywords

regularitysurface tensionsteady periodic capillary water waves

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Analyticity of Rotational Water Waves ⋮ Local bifurcation for steady periodic capillary water waves with constant vorticity ⋮ Regularity of traveling free surface water waves with vorticity

Cites Work

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• A new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth
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• The Neumann problem for free boundaries in two dimensions
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• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On the regularity of the Neumann problem for free surfaces with surface tension
• Exact large amplitude capillary waves on sheets of fluid
• Exact steady periodic water waves with vorticity
• Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
• A Note on Harmonic Functions and a Hydrodynamical Application

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