# Quantitative Propagation of Chaos for the Mixed-Sign Viscous Vortex Model on the Torus

@inproceedings{Wynter2021QuantitativePO, title={Quantitative Propagation of Chaos for the Mixed-Sign Viscous Vortex Model on the Torus}, author={Dominic Wynter}, year={2021} }

We derive a quantiative propagation of chaos result for a mixed-sign point vortex system on T with independent Brownian noise, at an optimal rate. We introduce a pairing between vortices of opposite sign, and using the vorticity formulation of 2D Navier-Stokes, we define an associated tensorized vorticity equation on T × T with the same well-posedness theory as the original equation. Solutions of the new PDE can be projected onto solutions of Navier-Stokes, and the tensorized equation allows us…

## One Citation

Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems

- Mathematics
- 2021

Our main subject is the convergence of the law of a stochastic particles system with mean field singular interactions towards its non linear limit. More precisely we will establish the first…

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