Vortex rings: existence and asymptotic estimates
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- by Avner Friedman and Bruce Turkington PDF
- Trans. Amer. Math. Soc. 268 (1981), 1-37 Request permission
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.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 268 (1981), 1-37
- MSC: Primary 76C05; Secondary 49H05
- DOI: https://doi.org/10.1090/S0002-9947-1981-0628444-6
- MathSciNet review: 628444