Resonant wave interactions in a stratified shear flow

DOI10.1017/S0022112088001351zbMath0655.76084OpenAlexW2041613932MaRDI QIDQ3802826

R. H. J. Grimshaw

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088001351

zbMATH Keywords

shear flowResonant interactionsspace-time resonance surfacestriads of internal gravity waves

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items

Wave propagation phenomena from a spatiotemporal viewpoint: Resonances and bifurcations ⋮ Resonant and near-resonant internal wave triads for non-uniform stratifications. Part 2. Vertically bounded domain with mild-slope bathymetry ⋮ Instabilities in internal gravity waves ⋮ Energy transfer in resonant and near-resonant internal wave triads for weakly non-uniform stratifications. Part 1. Unbounded domain ⋮ Triadic resonances in internal wave modes with background shear

Cites Work

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• Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows
• The role of negative energy waves in some instabilities of parallel flows
• On the nonlinear reflection of a gravity wave at a critical level. Part 2
• On the nonlinear reflection of a gravity wave at a critical level. Part 3
• Energy transfer between external and internal gravity waves
• On wave interactions in a stratified fluid
• The critical layer for internal gravity waves in a shear flow
• A criterion for nonlinear wave stability