Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump
From MaRDI portal
Publication:718934
DOI10.1007/S10665-010-9371-2zbMath1310.76070OpenAlexW2156155055MaRDI QIDQ718934
A. S. Donahue, Samuel Shan-Pu Shen
Publication date: 27 September 2011
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-010-9371-2
stabilitywater wavescnoidal wavesforced Korteweg-de Vries equationhydraulic fallstability of hydraulic fall and cnoidal waves
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items (7)
The hyperbolic relaxation systems for the forced KdV equations with hydraulic falls ⋮ A stability analysis of periodic solutions to the steady forced Korteweg-de Vries-Burgers equation ⋮ A study of wave trapping between two obstacles in the forced Korteweg-de Vries equation ⋮ Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation ⋮ Stability of some stationary solutions to the forced KdV equation with one or two bumps ⋮ Transcritical flow over two obstacles: forced Korteweg–de Vries framework ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation
Cites Work
- Unnamed Item
- Locally forced critical surface waves in channels of arbitrary cross section
- Two-layer critical flow over a semi-circular obstruction
- Critical free-surfaces flow over a semi-circular obstruction
- Interaction of a moving dipole with a soliton in the KdV equation
- Generalised critical free-surface flows
- Steady free-surface flow past an uneven channel bottom
- On the excitation of long nonlinear water waves by a moving pressure distribution
- Influence of rapid changes in a channel bottom on free-surface flows
- Forced solitary waves and fronts past submerged obstacles
- Free-surface flow over a semicircular obstruction
- Stationary, transcritical channel flow
- Modulation theory solution for resonant flow over topography
- Free-surface flow over an obstruction in a channel
- Generation of upstream advancing solitons by moving disturbances
- Forced solitary waves and hydraulic falls in two-layer flows
- Stability of forced steady solitary waves
- Solitary waves on a shelf
- Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg-de Vries Equation and Their Stability
- Stability of the lower cusped solitary waves
- Trapped waves between submerged obstacles
- Resonant flow of a stratified fluid over topography
- On the accuracy of the stationary forced Korteweg-de Vries equation as a model equation for flows over a bump
- On solitary waves forced by underwater moving objects
- Generation of solitary waves by transcritical flow over a step
This page was built for publication: Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump
