Abstract
Problems of the motion of thin circular vortex rings in an ideal fluid are amon E the most interesting problems of vorticity dynamics. Since Helmholtz's fundamental study [i] was first published, steady interest has been generated not only by the intrinsic beauty of the problems but also by the fact that the results obtained by solving them can be used directly to explain the nature of various physical phenomena. This is illustrated both by the attempt made by Thomson (Lord Kelvin) at the end of the last century to create a vortex model of the atom [2] and by contemporary studies of the coherent structures in turbulent jets, superfluids and the wakes left by flying birds [3-5].
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