Doubly periodic progressive permanent waves in deep water

DOI10.1017/S0022112085002804zbMath0585.76019OpenAlexW2114154961MaRDI QIDQ3710175

Peter J. Bryant

Publication date: 1985

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112085002804

zbMATH Keywords

Fourier analysisnonlinear Schrödinger equationstability boundarydoubly periodic wavesStokes wavewave crestsdouble Fourier cosine seriesfinite wave slopeirrotational motion in deep waterlocal wave structureslocal-ocean-wave spectrummean particle pathspaths of particles on the free surfacepermanent shapeprogressive waves ofupper boundary of occurrence

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (11)

Third-order theory for multi-directional irregular waves ⋮ Different forms for nonlinear standing waves in deep water ⋮ On the observability of finite-depth short-crested water waves ⋮ Three‐Dimensional Water Waves ⋮ Boundary Perturbation Methods for Water Waves ⋮ On hexagonal gravity water waves ⋮ Stable, high-order computation of traveling water waves in three dimensions ⋮ Asymmetrical three-dimensional travelling gravity waves ⋮ Slow evolution of nonlinear deep water waves in two horizontal directions: A numerical study ⋮ Finite-amplitude steady-state resonant waves in a circular basin ⋮ Calculation of forced, nonlinear water waves in a square container

Cites Work

• On steady three-dimensional deep water weakly nonlinear gravity waves
• Two-dimensional bifurcations of Stokes waves
• The calculation of nonlinear short-crested gravity waves
• A new type of three-dimensional deep-water wave of permanent form

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