Asymptotics for the long-time evolution of kurtosis of narrow-band ocean waves

DOI10.1017/jfm.2018.844zbMath1415.86011OpenAlexW2903180517WikidataQ128876657 ScholiaQ128876657MaRDI QIDQ4647312

Peter A. E. M. Janssen, Augustus J. E. M. Janssen

Publication date: 15 January 2019

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

Full work available at URL: https://research.tue.nl/nl/publications/7c5fd51e-21c7-4fc5-8888-1861e40e40d4

zbMATH Keywords

surface gravity waveswaves/free-surface flows

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (5)

Statistics of rogue waves in isotropic wave fields ⋮ Histograms, cumulants, and spectra of mechanical and wind waves in a wind-wave channel ⋮ Parametrization of sea surface skewness and kurtosis with application to crest distributions ⋮ Spatial evolution of the kurtosis of steep unidirectional random waves ⋮ Kinetic equations in a third-generation spectral wave model

Cites Work

• Unnamed Item
• The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
• Exact first-order solutions of the nonlinear Schrödinger equation
• Is free-surface hydrodynamics an integrable system?
• On the kurtosis of deep-water gravity waves
• Water waves, nonlinear Schrödinger equations and their solutions
• Integrable turbulence and formation of rogue waves
• The statistical distribution of the maxima of a random function
• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• Nonlinear Schrödinger invariants and wave statistics
• Nonlinear Dynamics of Deep-Water Gravity Waves
• Stability of weakly nonlinear deep-water waves in two and three dimensions
• The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• Role of non-resonant interactions in the evolution of nonlinear random water wave fields
• The disintegration of wave trains on deep water Part 1. Theory
• Contributions to the Theory of Waves in Non-linear Dispersive Systems
• On the predictability of evolution of surface gravity and gravity-capillary waves

This page was built for publication: Asymptotics for the long-time evolution of kurtosis of narrow-band ocean waves