• Corpus ID: 235376761

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

  title={Quantitative Propagation of Chaos for the Mixed-Sign Viscous Vortex Model on the Torus},
  author={Dominic Wynter},
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… 
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