Abstract
We study the time evolution of an incompressible fluid with an axial symmetry without swirl when the vorticity is sharply concentrated on N annuli of radii ≈r0 and thickness ɛ. We prove that when r0 = |log ɛ|α, α > 2, the vorticity field of the fluid converges as ɛ → 0 to the point-vortex model, at least for a small but positive time. This result generalizes a previous paper that assumed a power law for the relation between r0 and ɛ.
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