Mathematics > Analysis of PDEs
[Submitted on 8 Oct 2023
(v1)
, last revised 15 Sep 2025 (this version, v2)]
Title: Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space
Title: 二维整体空间上粘性涡旋模型的定量混沌传播
Abstract: We derive the quantitative estimates of propagation of chaos for the large interacting particle systems in terms of the relative entropy between the joint law of the particles and the tensorized law of the mean field PDE. We resolve this problem for the first time for the viscous vortex model that approximates 2D Navier-Stokes equation in the vorticity formulation on the whole space. We obtain as key tools the Li-Yau-type estimates and Hamilton-type heat kernel estimates for 2D Navier-Stokes in the whole space.
Submission history
From: Xuanrui Feng [view email][v1] Sun, 8 Oct 2023 13:16:15 UTC (20 KB)
[v2] Mon, 15 Sep 2025 06:11:39 UTC (27 KB)
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