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7 papers
Modulated Gibbs Measure and Mean-Field Limit for 3D Vlasov--Poisson--Fokker--Planck Equations
Xuanrui Feng, Zhenfu Wang
We introduce a modulated Gibbs measure for the usual tensorized initial data for stochastic Newton's systems with singular repulsive interactions. Using the uniform-in- partitio…
Uniform-in-time relative entropy estimates for Kac's approximation of the Landau equation
Xuanrui Feng, Chenguang Liu, Zhenfu Wang
We prove uniform-in-time quantitative relative entropy estimates for Kac's particle approximation of the three-dimensional spatially homogeneous Landau equation for Maxwellian mole…
Kac's Program for the Landau Equation
Xuanrui Feng, Zhenfu Wang
We study the derivation of the spatially homogeneous Landau equation from the mean-field limit of a conservative -particle system, obtained by passing to the grazing limit on Ka…
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…