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A Hamiltonian theory for weakly interacting vortices

Published online by Cambridge University Press:  26 February 2010

P. H. Roberts
P. H. Roberts
Affiliation:
School of Mathematics, University of Newcastle upon Tyne.
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Extract

It is shown that the equations governing the motion of a set of circular vortex rings, separated by distances large compared with their dimensions, can be written in canonical form.

Type
Research Article
Information
Mathematika , Volume 19 , Issue 2 , December 1972 , pp. 169 - 179
Copyright
Copyright © University College London 1972

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References

Dyson, F. W., 1893, Phil. Trans. Roy. Soc. Lond. A, 185, 43 and 1041.Google Scholar
Fraenkel, L. E., 1970, Proc. Roy. Soc. Lond., A, 316, 29.Google Scholar
Fraenkel, L. E., 1972, J. Fluid Mech., 51, 119.CrossRefGoogle Scholar
Lamb, H., 1932, Hydrodynamics (Cambridge: University Press (6th edition)).Google Scholar
Landau, L. D. and Lifshitz, E. M., 1960, Mechanics (Oxford: Pergamon Press).Google Scholar
Roberts, P. H. and Donnelly, R. J., 1970, Physics Letters, 31A, 137.CrossRefGoogle Scholar
Thomson, J. J., 1883 A treatise on the motion of vortex rings (London: Macmillan & Co.).Google Scholar