Growth of localized disturbances on a vortex sheet

DOI10.1017/S0308210500016152zbMath0522.76026OpenAlexW2313277038MaRDI QIDQ3673312

Alex D. D. Craik

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500016152

zbMATH Keywords

singularitieswavenumbervortex-sheetFourier transform of initial disturbancelinearized local disturbances

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (1)

The linear growth of localized disturbances in unstable compressible flows

Cites Work

• The development of wavepackets in unstable flows
• Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
• The Growth of Localized Disturbances in Unstable Flows
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Transmission of an acoustic pulse through a plane vortex sheet

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