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

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arxiv 2108.08675 v2 pith:EJLD3V3U submitted 2021-08-19 math.PR math.AP

Arnaud Guillin , Pierre Le Bris , Pierre Monmarché This is my paper · ORCID
classification math.PRmath.AP
keywords chaosmodelpropagationsingulartimeuniformvortexadapt
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In this article, 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.

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