Abstract
The mathematical description of steady vortex rings, in an ideal fluid occupying the whole space R3, can be approached in various ways. The physical basis of the problem, its history up to 1973, and several formulations are outlined in [12], pp. 14–21. Another, quite different formulation and the plan for a corresponding existence theory are presented in [6]. Further existence theorems, variational principles and results are to be found in [3], [7], [11], [13] and [20]. Here we state only definitions and equations that seem relevant to our immediate purpose.
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Dedicated to James Serrin on the occasion of his 60th birthday
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© 1989 Springer-Verlag Berlin Heidelberg
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Amick, C.J., Fraenkel, L.E. (1989). The Uniqueness of Hill’s Spherical Vortex. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_3
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DOI: https://doi.org/10.1007/978-3-642-83743-2_3
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