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arXiv · 2307.05133

Zero-Noise Selection for Point Vortex Dynamics after Collapse

Francesco Grotto·Marco Romito·Milo Viviani
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Abstract

The continuation of point vortex dynamics after a vortex collapse is investigated by means of a regularization procedure consisting in introducing a small stochastic diffusive term, that corresponds to a vanishing viscosity. In contrast with deterministic regularization, in which a cutoff interaction selects in the limit a single trajectory of the system after collapse, the zero-noise method produces a probability distribution supported by trajectories satisfying relevant conservation laws of the point vortex system.

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Francesco Grotto, Marco Romito, Milo Viviani. 2023-07-11. Zero-Noise Selection for Point Vortex Dynamics after Collapse. https://arxiv.org/abs/2307.05133

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