Weakly Nonlinear Internal Waves in Shear

DOI10.1002/sapm1981653189zbMath0481.76029OpenAlexW145710805MaRDI QIDQ3939440

Jerry J. Chang, Ka Kit Tung, Denny R. S. Ko

Publication date: 1981

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1981653189

zbMATH Keywords

evolution equationBenjamin-Ono equationcritical layerweakly nonlinearKorteweg- de Vries equationsheared, stratified flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Solitary waves for incompressible inviscid fluids (76B25) Shear flows and turbulence (76F10) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05) Partial differential equations of mathematical physics and other areas of application (35Q99) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (8)

The viscous-diffusion nonlinear critical layer in a stratified shear flow ⋮ Solitary waves in compressible deep fluids ⋮ Internal gravity waves in shear flows at large Reynolds number ⋮ A novel dynamic model and the oblique interaction for ocean internal solitary waves ⋮ Generation, propagation, and breaking of internal solitary waves ⋮ Soliton caustics ⋮ The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. I. Derivation of the Amplitude Evolution Equations ⋮ Triadic resonances in internal wave modes with background shear

Cites Work

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• An exact theory of nonlinear waves on a Lagrangian-mean flow
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• The evolution of the critical layer of a rossby wave. Part II
• Solitary waves in stratified shear fiows
• The critical layer for internal gravity waves in a shear flow
• Reflexion and stability of waves in stably stratified fluids with shear flow: a numerical study
• A New Class of Nonlinear Waves in Parallel Flows
• Critical Layers m Parallel Flows

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