On the accuracy of the stationary forced Korteweg-de Vries equation as a model equation for flows over a bump
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Publication:4864629
DOI10.1090/qam/1359506zbMath0859.76008OpenAlexW2319319997MaRDI QIDQ4864629
Publication date: 15 April 1997
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1359506
existencefirst integralboundary conditions at infinityinhomogeneous Riccati equationmonotone iteration techniquessmall forcing term
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
Related Items (16)
Numerical solution of a free surface flow problem over an obstacle ⋮ Solution for fractional forced KdV equation using fractional natural decomposition method ⋮ Three‐Dimensional Surface Water Waves Governed by the Forced Benney–Luke Equation ⋮ Steady free-surface flow at the stern of a ship ⋮ Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain ⋮ A note on waveless subcritical flow past symmetric bottom topography ⋮ A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative ⋮ Forced solitary waves and fronts past submerged obstacles ⋮ Evolution equation of propagation of surface gravity waves in the presence of bottom excitation ⋮ Absorbing boundary conditions for the stationary forced KdV equation ⋮ Stability of some stationary solutions to the forced KdV equation with one or two bumps ⋮ Trapped supercritical waves for the forced KdV equation with two bumps ⋮ Steady free-surface flow past an uneven channel bottom ⋮ Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing
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