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

Arnaud Guillin (1) , Pierre Le Bris (2) , Pierre Monmarché (2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

In this article, we adapt the work of Jabin and Wang to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels. In particular, our models contain the Biot-Savart kernel on the torus and thus the 2D vortex model.

Domaines: Probabilités [math.PR]; Equations aux dérivées partielles [math.AP]

Arnaud Guillin, Pierre Le Bris, Pierre Monmarché. Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems. 2023. ⟨hal-03323160v2⟩