"Rearrangements in steady multiple vortex flows"

We consider steady, inviscid flows in two dimensions which have concentrated regions of vorticity. In particular, we study such flows which ``desingularize'' a configuration of point vortices in stable equilibrium with an irrotational flow. The vorticity functions in these flows are obtained as solutions of a variational problem for energy set in classes of rearrangements of fixed functions.



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