Passage through the critical Froude number for shallow-water waves over a variable bottom

DOI10.1017/S0022112089001655zbMath0671.76020OpenAlexW1966397149MaRDI QIDQ3823928

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0022112089001655

zbMATH Keywords

dispersionasymptotic expansionsvariable bottomsurface ripplingweak nonlinearitiesfree surface perturbationsperiodic generation of upstream-propagating solitary wavessmall-amplitude waves in shallow water

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Basic methods in fluid mechanics (76M99)

Related Items (6)

The Interaction of a Strong Bore with Small Disturbances in Shallow Water ⋮ Nonlinear progressive internal gravity wave on fluid of trapezoidal bottom ⋮ Nonlinear long waves generated by a moving pressure disturbance ⋮ Interaction of a Solitary Wave with an External Force Moving with Variable Speed ⋮ Generation of trapped depression solitary waves in gravity-capillary flows over an obstacle ⋮ Progressive Internal Gravity Waves With Bounded Upper Surface Climbing a Triangular Obstacle

Cites Work

• A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations
• Transient waves produced by flow past a bump
• On the excitation of long nonlinear water waves by a moving pressure distribution
• Radiation of solitons by slender bodies advancing in a shallow channel
• Stationary, transcritical channel flow
• Generation of upstream advancing solitons by moving disturbances
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• Adiabatic Invariance and Passage Through Resonance for Nearly Periodic Hamiltonian Systems
• Resonant flow of a stratified fluid over topography

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