November 9, 2025Open Access

Note on the Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl

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Lower bound for the growth of vorticity maximum is established with a decay rate of t^{1/2}-.
Monotonicity of the generalized vertical moment proves key to understanding vortex behavior.
The analysis considers axisymmetric flows without swirl, focusing on anti-parallel vortex rings.
Findings suggest significant implications for vortex stretching in fluid dynamics problems.

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Analysis finds a lower bound for vorticity growth in three-dimensional flows, indicating implications for vortex dynamics.

Cao et al. (2025) studied this question.

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