Parametrically excited, standing cross-waves

DOI10.1017/S0022112088000060zbMath0655.76009MaRDI QIDQ3802765

J. W. Miles

Publication date: 1988

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

zbMATH Keywords

variational formulationparametric excitationstability criterionHamiltonian systemwavemakervertical oscillationcross-wave problemshort tankstability of cross-waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (9)

Parametrically excited standing edge waves ⋮ Resonantly excited regular and chaotic motions in a rectangular wave tank ⋮ Fluid surface waves in a partially filled `singing wine glass' ⋮ Standing radial cross-waves ⋮ Coupled cross-waves in a partially filled `singing wine glass' ⋮ Water waves in a deep square basin ⋮ On the neutral stability of cross-waves ⋮ Subharmonic resonant interaction of a gravity–capillary progressive axially symmetric wave with a radial cross-wave ⋮ Waves in a liquid between two coaxial cylindrical shells induced by vibrations of the inner cylinder

Cites Work

• Theory of non-propagating surface-wave solitons
• Parametrically excited solitary waves
• The generation of cross-waves in a long deep channel by parametric resonance
• Nonlinear Faraday resonance
• A variational principle for a fluid with a free surface
• On cross-waves
• Cross-waves. Part 1. Theory

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