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We consider axisymmetric, swirl-free solutions of the Euler equations inthree and higher dimensions, of generalizedanti-parallel-vortex-tube-pair-type: the initial scalar vorticity has a sign inthe half-space, is odd under reflection across the plane, is bounded and decayssufficiently rapidly at the axis and at spatial infinity. We prove lower boundson the growth of such solutions in all dimensions, improving a lower boundproved by Choi and Jeong arXiv:2110.09079 in three dimensions.

Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions