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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Vortex rings: existence and asymptotic estimates


Authors: Avner Friedman and Bruce Turkington
Journal: Trans. Amer. Math. Soc. 268 (1981), 1-37
MSC: Primary 76C05; Secondary 49H05
MathSciNet review: 628444
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Abstract: The existence of a family of steady vortex rings is established by a variational principle. Further, the asymptotic behavior of the solutions is obtained for limiting values of an appropriate parameter $ \lambda $; as $ \lambda \to \infty $ the vortex ring tends to a torus whose cross-section is an infinitesimal disc.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0628444-6
PII: S 0002-9947(1981)0628444-6
Article copyright: © Copyright 1981 American Mathematical Society