The Propagation of Nonlinear Wave Packets in a Shear Flow with a Free Surface

DOI10.1002/sapm198776169zbMath0632.76020OpenAlexW2481144368MaRDI QIDQ3770141

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1002/sapm198776169

zbMATH Keywords

weakly nonlinear wave packetsinstability propertiesshear flow with a free surface

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items

Simulation of surface gravity waves in the Dyachenko variables on the free boundary of flow with constant vorticity, The Nonlinear Instability Characteristics of Waves in Free Shear Layers, A Note on Inviscid Secondary Instability in Shear Flows, Modulational instability of two obliquely interacting interfacial waves in the presence of a basic current shear, A nonlinear Schrödinger equation for gravity-capillary waves on deep water with constant vorticity, NONLINEAR SELF-MODULATION OF GRAVITY-CAPILLARY WAVES ON SHEAR CURRENTS IN FINITE DEPTH, A Mean Flow First Harmonic Theory for Hydrodynamic Instabilities, Two-dimensional stability of finite-amplitude gravity waves on water of finite depth with constant vorticity, Nonelliptic Schrödinger equations

Cites Work

• Unnamed Item
• The Evolution of Disturbances in Shear Flows at High Reynolds Numbers
• An Alternative Approach to Nonlinear Instabilities in Hydrodynamics
• Instabilities of Waves on a Free Surface
• Nonlinear deep water waves: Theory and experiment
• On three-dimensional packets of surface waves
• The disintegration of wave trains on deep water Part 1. Theory
• The Propagation of Nonlinear Wave Envelopes
• Wave Instabilities