Zero-Noise Selection for Point Vortex Dynamics after Collapse
Fluid Dynamics
2023-07-12 v1 Probability
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.
Keywords
Cite
@article{arxiv.2307.05133,
title = {Zero-Noise Selection for Point Vortex Dynamics after Collapse},
author = {Francesco Grotto and Marco Romito and Milo Viviani},
journal= {arXiv preprint arXiv:2307.05133},
year = {2023}
}
Comments
10 pages, 5 figures