Nonlinear gravity–capillary standing waves in water of arbitrary uniform depth

DOI10.1017/S0022112084000276zbMath0566.76015MaRDI QIDQ3682100

Jean-Marc Vanden-Broeck

Publication date: 1984

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

zbMATH Keywords

first critical value of the depthGravity-capillary standing wavesproblem of non-uniqueness

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Reflection of capillary-gravity waves, Vortex sheet motion in incompressible Richtmyer–Meshkov and Rayleigh–Taylor instabilities with surface tension, Computation of three-dimensional standing water waves, An analytic model of sound production by raindrops, O(2)-lnvariant Hamiltonians on ℂ⁴, Resonant capillary–gravity interfacial waves, Waves produced by a vertically oscillating plate, On the bifurcation diagram of the capillary-gravity Whitham equation, Lagrangian motion of fluid particles in gravity-capillary standing waves, Branching behavior of standing waves—The signatures of resonance, Effects of bottom topography on the standing waves in circular basins, Resonance in a model for Cooker's sloshing experiment, The Third-Harmonic Resonance for Capillary-Gravity Waves with O(2) Spatial Symmetry, Harmonic stability of standing water waves, Finite-amplitude steady-state resonant waves in a circular basin

Cites Work

• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• Standing capillary-gravity waves of finite amplitude: Corrigendum
• Standing capillary-gravity waves of finite amplitude