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A Global Branch of Steady Vortex Rings.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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A steady vortex ring of prescribed strength and propagation speed can be described in terms of a Strokes stream function psi. A flux constant k measures the flow through the center of the axisymmetric vortex ring. For k 0, Hill in 1984 found an explicit solution for the semi-linear elliptic equation satisfied by psi. In this paper it is shown that there is an unbounded, closed, connected branch of solutions emanating from Hills vortex in the space of pairs k, psi. Author
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