A resonant test-field model of gravity waves

DOI10.1017/S002211208300169XzbMath0549.76008OpenAlexW2051532733MaRDI QIDQ3342096

Bruce J. West

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s002211208300169x

zbMATH Keywords

Fokker-Planck equationLangevin equationMarkov process

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35) Markov processes (60J99)

Cites Work

• Nonlinear energy transfer in gravity–capillary wave spectra, with applications
• On the generation of waves by turbulent wind
• On the generation of surface waves by shear flows
• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Resonant interactions between two trains of gravity waves
• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• On the hamiltonian theory of surface waves
• Energy transport in a nonlinear and inhomogeneous random gravity wave field
• On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model
• A transport-equation description of nonlinear ocean surface wave interactions
• On Hamilton's principle for surface waves
• The effects of randomness on the stability of two-dimensional surface wavetrains
• A note regarding ‘On Hamilton's principle for surface waves’
• Sequential Time Closures for Interacting Random Waves
• Classical Noise IV: Langevin Methods
• On the non-linear energy transfer in a gravity wave spectrum Part 2. Conservation theorems; wave-particle analogy; irrevesibility
• Non-linear gravity wave interactions