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arXiv · 2107.06035

Filamentation near Hill's vortex

Kyudong Choi·In-Jee Jeong
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Abstract

For the axisymmetric incompressible Euler equations, we prove linear in time filamentation near Hill's vortex: there exists an arbitrary small outward perturbation growing linearly for all times. This is based on combining the recent nonlinear orbital stability obtained in [13] with a dynamical bootstrapping scheme for particle trajectories. These results rigorously confirm numerical simulations by Pozrikidis [45] in 1986.

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Kyudong Choi, In-Jee Jeong. 2021-07-13. Filamentation near Hill's vortex. https://arxiv.org/abs/2107.06035

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