Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory - MaRDI portal

On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory

From MaRDI portal
Publication:3294068

DOI10.1017/S0022112062000373zbMath0107.21402OpenAlexW2039752589MaRDI QIDQ3294068

Klaus Hasselmann

Publication date: 1962

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

Full work available at URL: https://doi.org/10.1017/s0022112062000373




Related Items

The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutionsOn the properties of energy flux in wave turbulenceOn coupled envelope evolution equations in the Hamiltonian theory of nonlinear surface gravity wavesRandom Wave ClosuresEnhancement of the Benjamin-Feir instability with dissipationApplicability of envelope model equations for simulation of narrow-spectrum unidirectional random wave field evolution: Experimental validationAnalysis of a class of simplified models for nonlinear gravity wave interactionsNon-homogeneous analysis of rogue wave probability evolution over a shoalEvolution of statistically inhomogeneous degenerate water wave quartetsStokes driftEmergence of non-stationary regimes in one- and two-dimensional models with internal rotatorsSpectral evolution of weakly nonlinear random waves: kinetic description versus direct numerical simulationsA nonlinear, non-dispersive energy balance for surfzone waves: infragravity wave dynamics on a sloping beachFast and slow resonant triads in the two-layer rotating shallow water equationsOn coherent vortical structures in wave breakingOn reduced equations in the Hamiltonian theory of weakly nonlinear surface wavesA multiple time scale approach for anisotropic inertial wave turbulenceFull derivation of the wave kinetic equationA Numerical Scheme for Wave Turbulence: 3-Wave Kinetic EquationsResonant triad interactions of gravity waves in cylindrical basinsDeterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022On the wave turbulence theory for stratified flows in the oceanOcean Surface Waves and Ocean-Atmosphere InteractionsThe impact of frequency bandwidth on a one-dimensional model for dispersive wave turbulenceOn the strength of the weakly nonlinear theory for surface gravity wavesUnified analytical solution for group-induced infragravity waves based on Green's functionParametrization of sea surface skewness and kurtosis with application to crest distributionsEnergy and dissipation spectra of waves propagating in the inner surf zoneDynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random mediumInstabilities in internal gravity wavesOn elementary four-wave interactions in dispersive mediaUnnamed ItemWeakly nonlinear transient waves on a shear current: ring waves and skewed Langmuir rollsParametric subharmonic instability in a narrow-band wave spectrumRapid spectral evolution of steep surface wave groups with directional spreadingSpatial evolution of the kurtosis of steep unidirectional random wavesOn the Kinetic Equation in Zakharov's Wave Turbulence Theory for Capillary WavesThree-dimensional surface gravity waves of a broad bandwidth on deep waterNoise generation in the solid Earth, oceans and atmosphere, from nonlinear interacting surface gravity waves in finite depthPhase-averaged equation for water wavesRecurrent solutions of the Alber equation initialized by Joint North Sea Wave Project spectraAsymptotics for the long-time evolution of kurtosis of narrow-band ocean wavesThe wave instability pathway to turbulenceLarge-time evolution of statistical moments of wind–wave fieldsGeneration of dispersion in nondispersive nonlinear waves in thermal equilibriumExcitation of superharmonics by internal modes in non-uniformly stratified fluidThe weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equationFinite-amplitude steady-state wave groups with multiple near-resonances in finite water depthWave turbulence and intermittencyWave turbulence in one-dimensional modelsWeakly turbulent laws of wind-wave growthA numerical study of nonlinear energy fluxes due to wave-wave interactions Part 1. Methodology and basic resultsNew insight into classical equilibrium solutions of kinetic equationsOn the kinetic wave turbulence description for NLSSpatial evolution of young wind waves: numerical modelling verified by experimentsA Comparison of Nonlinear Water Wave ModelsWind–wave coupling study using LES of wind and phase-resolved simulation of nonlinear wavesKinetic equations in a third-generation spectral wave modelInvestigation of Boussinesq dynamics using intermediate models based on wave–vortical interactionsCan edge waves be generated by wind?The principal stage in wind-wave generationThe structure of energy fluxes in wave turbulencePhenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating platesAttenuation of short surface waves by the sea floor via nonlinear sub-harmonic interactionWave systems with an infinite number of invariantsThird-order theory for multi-directional irregular wavesA Hamiltonian formulation for long internal wavesWeak turbulence theory for rotating magnetohydrodynamics and planetary flowsIntroduction to the special issue on breaking wavesThe Zakharov equation with separate mean flow and mean surfaceInternal resonant interactions of three free surface-waves in a circular cylindrical basinEvolution of weakly nonlinear random directional waves: laboratory experiments and numerical simulationsAsymptotically exact Zakharov equations and the stability of water waves with bimodal spectraOn self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equationModeling ocean wave propagation under sea ice coversSecond-order Lagrangian description of tri-dimensional gravity wave interactionsStatistical properties of mechanically generated surface gravity waves: a laboratory experiment in a three-dimensional wave basinWater wave optimization: a new nature-inspired metaheuristicSelected action density to speed up the computation of the nonlinear wave-wave interactionsSpectral and statistical properties of the equilibrium range in wind-generated gravity wavesLinear and nonlinear statistics of extreme wavesLarge-scale Kolmogorov flow on the beta-plane and resonant wave interactionsNumerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow waterOn the initial evolution of the weak turbulence spectrum in a system with a decay dispersion relationSafe zone for phase-resolved simulation of interactions between waves and vertically sheared currentsOn the quadratic effect of random gravity waves on a vertical boundaryOn the stability of weakly nonlinear short waves on finite-amplitude long gravity wavesMulti-wave interaction theory for wind-generated surface gravity wavesA reaction network approach to the theory of acoustic wave turbulenceOn the theory of Weak Turbulence for the Nonlinear Schrödinger EquationUniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theoryOptimal local well-posedness theory for the kinetic wave equationAsymptotic dynamical equations for an ensemble of nonlinear dispersive wavesPath large deviations for the kinetic theory of weak turbulenceOn the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutionsNonlinear interactions of gravity-capillary waves: Lagrangian theory and effects on the spectrumOn the analysis of 2D nonlinear gravity waves with a fully nonlinear numerical modelEvolution of a random inhomogeneous field of nonlinear deep-water gravity wavesThe Phillips spectrum and a model of wind-wave dissipationStability of Kolmogorov spectra for surface gravity wavesNonlinear amplification of ocean waves in straitsThe localized Zakharov equation: derivation and validationWeak turbulent approach to the wind-generated gravity sea wavesNon-stationary spectra of local wave turbulenceSpectral inversion of second order Volterra models based on the blind identification of Wiener modelsDynamics of ideal fluid flows over an uneven bottomSingularities in the weak turbulence regime for the quintic Schrödinger equationDiscrete resonant Rossby/drift wave triads: explicit parameterisations and a fast direct numerical search algorithmA hybrid spectral/DG method for solving the phase-averaged ocean wave equation: algorithm and validationRecurrent solutions of Alber's equation for random water-wave fieldsNumerical simulations of modulated waves in a higher-order Dysthe equationThe Benjamin-Feir instability and propagation of swell across the PacificInfluence of the condensate and inverse cascade on the direct cascade in wave turbulenceNote on modified Zakharov's equation accounting for scattering in disordered mediaVindication of mode-coupled descriptions of multiple-scale water wave fieldsEvolution of spectral distributions in deep-water constant vorticity flowsNonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic TheoryBoussinesq-type equations for nonlinear evolution of wave trainsOn the Kolmogorov-Zakharov spectra of weak turbulenceOn Zakharov's kernel and the interaction of non-collinear wavetrains in finite water depthStatistics of surface gravity wave turbulence in the space and time domainsProbability densities and preservation of randomness in wave turbulenceSpectral evolution of wind-generated surface gravity waves in a dispersed ice fieldA one-dimensional model for dispersive wave turbulenceStatistical dynamics of internal gravity waves-turbulenceProgress in ocean wave forecastingKinetic description of random optical waves and anomalous thermalization of a nearly integrable wave systemLong-time behaviour of a random inhomogeneous field of weakly nonlinear surface gravity wavesStochastic closure for nonlinear Rossby wavesTransfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equationA resonant test-field model of gravity wavesOn modifications of the Zakharov equation for surface gravity wavesOn the interaction of four water-wavesWhy ripples become sweiis, and swells in shallow water decay rapidlyOn the nonlinear Dysthe equationJoint statistics of amplitudes and phases in wave turbulenceDiscreteness and its effect on water-wave turbulenceA numerical study on statistical characteristics of amplitude fluctuations in a wave turbulenceA novel method for predicting the power outputs of wave energy convertersUniversality of sea wave growth and its physical rootsThe role of wind waves in dynamics of the air-sea interfaceOn the Doppler distortion of the sea-wave spectraLaboratory observations of wave evolution, modulation and blocking due to spatially varying opposing currentsThe evolution of large non-breaking waves in intermediate and shallow water. I. Numerical calculations of uni-directional seasStatistical theory of gravity and capillary waves on the surface of a finite-depth fluidOnset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equationFractal dimensions of random water surfacesWhitecappingRandom half-order differential correlation functionsOn weakly turbulent scaling of wind sea in simulations of fetch-limited growthThe Langevin equation of weak turbulenceWave interactions - the evolution of an ideaStability of bichromatic gravity waves on deep waterA transport equation for flexural-gravity wave propagation under a sea ice cover of variable thicknessA statistical dynamical theory of strongly nonlinear internal gravity wavesOn a fourth-order envelope equation for deep-water wavesA study of resonant interactions between internal and surface waves based on a two-layer fluid modelEffects of nonlinearity and spectral bandwidth on the dispersion relation and component phase speeds of surface gravity wavesA unified two-parameter wave spectral model for a general sea stateHigh-order formulation of the water-wave problemOn the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equationNumerical modeling of the constant flux spectra for surface gravity waves in a case of angular anisotropy