On Faraday waves

DOI10.1017/S0022112093000965zbMath0786.76009OpenAlexW2155522254MaRDI QIDQ4694476

J. W. Miles

Publication date: 8 August 1993

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

Full work available at URL: https://doi.org/10.1017/s0022112093000965

zbMATH Keywords

bifurcationscapillary-gravity wavesdissipative termscentral manifoldsevolutional equationstruncated expansionsmean Lagrangiansingle selected wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Pattern formation on the surface of a bubble driven by an acoustic field ⋮ Quasipatterns in a parametrically forced horizontal fluid film ⋮ Nonpropagating interface solitary waves in fluids ⋮ Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries ⋮ Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio ⋮ Parametric instability in a rotating cylinder of gas subject to sinusoidal axial compression. Part 2. Weakly nonlinear theory ⋮ Sideband instability and modulations of Faraday waves. ⋮ On limit cycles arising form the parametric excitation of standing waves ⋮ Instability analysis of nonlinear surface waves in a circular cylindrical container subjected to a vertical excitation