Analysis of a class of simplified models for nonlinear gravity wave interactions

DOI10.1063/1.858739zbMath0796.76015OpenAlexW2043848616MaRDI QIDQ4282435

Jorge F. Willemsen

Publication date: 17 April 1994

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

Full work available at URL: https://doi.org/10.1063/1.858739

zbMATH Keywords

Hamilton's equationsquasilocalityspectral exponentscaling solutionTaylor power seriesKolmogorov-type cascadenonlinear Hasselmann resonant four-wave interaction

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• Spectral and statistical properties of the equilibrium range in wind-generated gravity waves
• Improved linear representation of ocean surface waves
• On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model

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