Supercritical surface gravity waves generated by a positive forcing

DOI10.1016/j.euromechflu.2008.01.006zbMath1151.76384OpenAlexW2011599578MaRDI QIDQ2517731

Yanyan Li

Publication date: 8 January 2009

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2008.01.006

zbMATH Keywords

forced gravity wavessupercritical surface waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (6)

A locally conservative eulerian-Lagrangian finite difference method for the forced KdV equation ⋮ Soliton interactions with an external forcing: the modified Korteweg-de Vries framework ⋮ On solitary-wave solutions of fifth-order KdV type of model equations for water waves ⋮ Trapped supercritical waves for the forced KdV equation with two bumps ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing

Uses Software

• Matlab

Cites Work

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• A model equation for steady surface waves over a bump
• Transient waves produced by flow past a bump
• Critical free-surfaces flow over a semi-circular obstruction
• Stability of some stationary solutions for the forced KdV equation
• Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation
• Two-layer hydraulic falls over an obstacle
• Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
• On the excitation of long nonlinear water waves by a moving pressure distribution
• Free-surface flow over a semicircular obstruction
• Radiation of solitons by slender bodies advancing in a shallow channel
• Stationary, transcritical channel flow
• Free-surface flow over an obstruction in a channel
• Generation of upstream advancing solitons by moving disturbances
• Stability of forced steady solitary waves
• Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg-de Vries Equation and Their Stability
• Spectral Methods in MATLAB
• Resonant flow of a stratified fluid over topography
• A bilinear estimate with applications to the KdV equation
• The initial-value problem for the forced Korteweg-de Vries equation

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