149 citations · 189 across the 19 of their papers we have counts for
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Propagation of Chaos for 2D Log Gas on the Whole Space
Shuzhe Cai, Xuanrui Feng, Yun Gong +1
We derive the quantitative propagation of chaos in the sense of relative entropy for the first time for the 2D Log gas or the weakly interacting particle systems with 2D Coulomb in…
Quantitative Propagation of Chaos for 2D Viscous Vortex Model with General Circulations on the Whole Space
Xuanrui Feng, Zhenfu Wang
We derive quantitative propagation of chaos in the sense of relative entropy for the 2D viscous vortex model with general circulations, approximating the vorticity formulation of t…
Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
José Antonio Carrillo, Xuanrui Feng, Shuchen Guo +2
We derive the spatially homogeneous Landau equation for Maxwellian molecules from a natural stochastic interacting particle system. More precisely, we control the relative entropy…
Uniform-in-time propagation of chaos for second order interacting particle systems
Yun Gong, Zhenfu Wang, Pengzhi Xie
We study the long time behavior of second order particle systems interacting through global Lipschitz kernels. Combining hypocoercivity method in [37] and relative entropy method i…
Transport based particle methods for the Fokker-Planck-Landau equation
Vasily Ilin, Jingwei Hu, Zhenfu Wang
We propose a particle method for numerically solving the Landau equation, inspired by the score-based transport modeling (SBTM) method for the Fokker-Planck equation. This method c…