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Growth of localized disturbances on a vortex sheet

Published online by Cambridge University Press:  14 November 2011

A. D. D. Craik
A. D. D. Craik
Affiliation:
Department of Applied Mathematics, University of St Andrews, North Haugh, St Andrews KY16 9SS
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Synopsis

Linearized local disturbances on a vortex sheet are known to develop singularities after a finite term in some cases but not in others. A simple test for the appearance of such singularities is given in terms of the Fourier transform of the initial disturbance. Such singularities are a consequence of the artificiality of the vortex sheet model and should not be regarded as physically meaningful.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 85 - 88
Copyright
Copyright © Royal Society of Edinburgh 1983

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