On an approximation to the limiting Stokes wave in deep water

DOI10.1016/j.wavemoti.2007.12.003zbMath1231.76047OpenAlexW1968466640MaRDI QIDQ661663

Michael S. Longuet-Higgins

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2007.12.003

zbMATH Keywords

numerical approximationwater waveshighest Stokes wavewaves in deep water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Applications to the sciences (65Z05)

Related Items

Branch Cuts of Stokes Wave on Deep Water. Part I: Numerical Solution and Padé Approximation ⋮ Quasiperiodic perturbations of Stokes waves: secondary bifurcations and stability ⋮ Superharmonic instability of stokes waves

Cites Work

• A constructive existence proof for the extreme Stokes wave
• Limiting gravity waves in water of finite depth
• Theory of the almost-highest wave: the inner solution
• The singularity at the crest of a finite amplitude progressive Stokes wave
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• On water waves with a corner at the crest