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

Abstract

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.
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Dates and versions

hal-03323160 , version 1 (20-08-2021)

Identifiers

  • HAL Id : hal-03323160 , version 1

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Arnaud Guillin, Pierre Le Bris, Pierre Monmarché. Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems. 2021. ⟨hal-03323160⟩
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