# On vortex stretching for anti-parallel axisymmetric flows

@inproceedings{Choi2021OnVS, title={On vortex stretching for anti-parallel axisymmetric flows}, author={Kyudong Choi and In-Jee Jeong}, year={2021} }

We consider axisymmetric incompressible inviscid flows without swirl in R, under the assumption that the axial vorticity is non-positive in the upper half space and odd in the last coordinate, which corresponds to the flow setup for head-on collision of anti-parallel vortex rings. For any such data, we establish monotonicity and infinite growth of the vorticity impulse on the upper half-space. As an application, we achieve infinite growth of Sobolev norms for certain classical/smooth and…

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