A uniqueness result for periodic traveling waves in water of finite depth

DOI10.1016/j.na.2004.01.008zbMath1127.76014OpenAlexW2127551641MaRDI QIDQ1883096

Henrik Kalisch

Publication date: 1 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.01.008

zbMATH Keywords

uniquenesstraveling wavessurface water waves

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear elliptic equations (35J60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Explicit solutions for a long-wave model with constant vorticity ⋮ A dispersive model for undular bores ⋮ A numerical study of the Whitham equation as a model for steady surface water waves ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact periodic traveling water waves with vorticity
• A Modern Introduction to the Mathematical Theory of Water Waves
• Exact steady periodic water waves with vorticity
• Symmetry of steady periodic surface water waves with vorticity