Resonant Interactions between Vortical Flows and Water Waves. Part II: Shallow Water

DOI10.1002/sapm1995943225zbMath0823.76009OpenAlexW2248173479MaRDI QIDQ4836014

Paul A. Milewski

Publication date: 16 July 1995

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

Full work available at URL: https://doi.org/10.1002/sapm1995943225

zbMATH Keywords

two coupled Korteweg-de Vries equationstwo-dimensional streamfunction equation

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

Long Nonlinear Waves in Resonance with Topography ⋮ Wave interactions in magnetohydrodynamics. ⋮ Time-dependent gravity-capillary flows past an obstacle.

Cites Work

• Weakly nonlinear high frequency waves
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
• Internal wave—vortical mode interactions in strongly stratified flows
• Stability of solitary waves in shallow water
• A numerical and theoretical study of certain nonlinear wave phenomena
• Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation
• Resonant Interactions between Vortical Flows and Water Waves. Part I: Deep Water
• Long Non‐Linear Waves in Fluid Flows
• The interaction trapping of internal gravity waves

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