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On the bifurcation of steady vortex rings from a Green function

Published online by Cambridge University Press:  24 October 2008

Tadie
Tadie
Affiliation:
Mathematics Division, University of Sussex, Falmer, Brighton, BN1 9QH
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Extract

This paper is a supplement to [2]. There, solutions ψ., (μ) of certain free-boundary problems, depending on a small parameter μ, are related to the Green function G., (a(μ)) of a second-order, elliptic, partial differential equation defined on a bounded set Ω ⊂ ℝ2. The free boundary is the boundary of a set A(μ) ⊂ Ω that is unknown a priori and corresponds to the cross-section of a steady vortex ring or of a confined plasma in equilibrium, for example.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 3 , November 1994 , pp. 555 - 568
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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