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

  • Arnaud Guillin

    Université Clermont Auvergne, Aubière, France

  • Pierre Le Bris

    Sorbonne Université, Paris, France

  • Pierre Monmarché

    Sorbonne Université, Paris, France
Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems cover

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Abstract

We adapt the work of Jabin and Wang (2018) 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.

Cite this article

Arnaud Guillin, Pierre Le Bris, Pierre Monmarché, Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1413