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

Arnaud Guillin; Pierre Le Bris; Pierre Monmarché

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arXiv · 2108.08675

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

Arnaud Guillin·Pierre Le Bris·Pierre Monmarché

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Abstract

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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Arnaud Guillin, Pierre Le Bris, Pierre Monmarché. 2023-10-04. Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems. https://arxiv.org/abs/2108.08675

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