Nonlinear Waves in a Shear Flow with a Vorticity Discontinuity

DOI10.1002/sapm198675177zbMath0625.76046OpenAlexW1635400958MaRDI QIDQ3028586

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1002/sapm198675177

zbMATH Keywords

nonlinear integral equationcoflowing layers of inviscid equal-density fluidlinarized stabilitynonlinear finite-amplitude progressive shear-flow wavessubharmonic isovortical disturbances

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

Related Items (2)

A second-order solution for the solitary wave in a rotational flow ⋮ Instability and filamentation of finite-amplitude waves on vortex layers of finite thickness

Cites Work

• Shear-flow instability at the interface between two viscous fluids
• Interfacial progressive gravity waves in a two-layer shear flow
• The two- and three-dimensional instabilities of a spatially periodic shear layer
• Instabilities of finite-amplitude water waves
• Structure of a Linear Array of Uniform Vortices
• Finite-amplitude waves in inviscid shear flows

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