The Zakharov equation with separate mean flow and mean surface
From MaRDI portal
Publication:3450334
DOI10.1017/jfm.2013.649zbMath1426.76067OpenAlexW2114295140MaRDI QIDQ3450334
Publication date: 3 November 2015
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2013.649
Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items (8)
On coupled envelope evolution equations in the Hamiltonian theory of nonlinear surface gravity waves ⋮ Apparent singularities of the finite-depth Zakharov equation ⋮ Parametrization of sea surface skewness and kurtosis with application to crest distributions ⋮ On the non-uniqueness of the kernel of the Zakharov equation in intermediate and shallow water: the connection with the Davey–Stewartson equation ⋮ Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory ⋮ Three-dimensional surface gravity waves of a broad bandwidth on deep water ⋮ Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth ⋮ A high-order nonlinear Schrödinger equation as a variational problem for the averaged Lagrangian of the nonlinear Klein-Gordon equation
Cites Work
- Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth
- A Hamiltonian approach to nonlinear modulation of surface water waves
- Note on the modified nonlinear Schrödinger equation for deep water waves
- Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
- A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
- Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid
- A note on an alternative derivation of the Benney equations for short wave-long wave interactions
- Numerical modelling of water-wave evolution based on the Zakharov equation
- Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth
- On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
- On modifications of the Zakharov equation for surface gravity waves
- On Zakharov's kernel and the interaction of non-collinear wavetrains in finite water depth
- On weakly nonlinear modulation of waves on deep water
- A higher-order nonlinear evolution equation for broader bandwidth gravity waves in deep water
- Instability and confined chaos in a nonlinear dispersive wave system
- Nonlinear Dynamics of Deep-Water Gravity Waves
- Energy computations for evolution of class I and II instabilities of Stokes waves
- Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
- On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
- On three-dimensional packets of surface waves
- On some consequences of the canonical transformation in the Hamiltonian theory of water waves
- Phase-averaged equation for water waves
- Role of non-resonant interactions in the evolution of nonlinear random water wave fields
- Wave Instabilities
This page was built for publication: The Zakharov equation with separate mean flow and mean surface
