On the regularity of the Neumann problem for free surfaces with surface tension

DOI10.1090/S0002-9939-07-08776-XzbMath1157.35381MaRDI QIDQ3438114

Walter Craig, Ana-Maria Matei

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

On the regularity of deep-water waves with general vorticity distributions ⋮ On the regularity of capillary water waves with vorticity ⋮ Regularity of traveling free surface water waves with vorticity ⋮ On the symmetry and recovery of steady continuously stratified periodic water waves ⋮ A free boundary approach to two-dimensional steady capillary gravity water waves ⋮ Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity ⋮ Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves

Cites Work

• On the Stokes conjecture for the wave of extreme form
• Regularity in elliptic free boundary problems. I
• The Neumann problem for free boundaries in two dimensions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Elliptic Partial Differential Equations of Second Order
• A Note on Harmonic Functions and a Hydrodynamical Application
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