Resonant Interactions between Vortical Flows and Water Waves. Part I: Deep Water

DOI10.1002/sapm1995942131zbMath0823.76008OpenAlexW4256691937MaRDI QIDQ4834592

D. J. Benney, Paul A. Milewski

Publication date: 28 June 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995942131

zbMATH Keywords

irrotational surface wavestriad-like ordinary differential equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Two water waves in subsurface interaction on a shear flow, Surfactant Influence on Water Wave Packets, Resonant Interactions between Vortical Flows and Water Waves. Part II: Shallow Water, Long Nonlinear Waves in Resonance with Topography, Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence

Cites Work

• The scattering of gravity waves by turbulence
• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Phase velocity effects in tertiary wave interactions
• Internal wave—vortical mode interactions in strongly stratified flows
• Evolution of a short surface wave on a very long surface wave of finite amplitude
• Long Non‐Linear Waves in Fluid Flows
• The interaction trapping of internal gravity waves
• Surface waves in flowing water
• Non-linear gravity wave interactions