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This is a Quantitative Study study.

On vortex stretching for anti-parallel axisymmetric flows

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Analysis of vorticity impulse growth in incompressible flows, highlighting implications on Sobolev norms.

Infinite growth of vorticity impulse identified in upper half-space for specific flow conditions.
Establishing monotonicity contributes to understanding vortex dynamics in axisymmetric scenarios.
Key applications show implications on Sobolev norms for classical vorticity solutions in three-dimensional flows.
Results suggest further exploration of non-positive vorticity behaviors in complex fluid dynamics.

Choi et al. (2025) studied this question.

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