Resonant triads of capillary–gravity waves in the presence of a current

DOI10.1063/1.868354zbMath0834.76009OpenAlexW2080610879MaRDI QIDQ4837455

L. C. Morland

Publication date: 10 April 1996

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868354

zbMATH Keywords

small parametereigenvalue problemdispersion relationweakly nonlinear interactionamplitude equationsEuler's equationsolvability conditionwind-generated wavesinhomogeneous Rayleigh equationerror function profilesexponential profilesSquire transformation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Cites Work

• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Waves generated by shear layer instabilities
• Resonant interactions among capillary-gravity waves
• Non-linear resonant instability in boundary layers

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