On the structure of the set of self-similar quadruples of point vortices in the plane

Marek Kazimierz Lewkowicz

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arXiv · 1512.04668

On the structure of the set of self-similar quadruples of point vortices in the plane

Marek Kazimierz Lewkowicz

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Abstract

It has been shown that the set of self-similar configurations of point vortices in the plane is the set of zeros of a vector field. A numerical procedure for seeking the zeros has been proposed. By using this procedure, for the circulation used by Novikov, new components of the set of self-similar configurations of fours vortices, different from the ellipse identified by Novikov, have been found numerically.

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Marek Kazimierz Lewkowicz. 2015-12-15. On the structure of the set of self-similar quadruples of point vortices in the plane. https://arxiv.org/abs/1512.04668

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