Xicheng Zhang

works on

central limit theorem 1 kinetic equations 1 McKean-Vlasov 1 propagation of chaos 1 singular interactions 1

From the 1 of 7 linked papers with an AI index.

activity

20242026

collaborators

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math.AP2026

Kinetic Fokker-Planck Equations with Nonlinear Diffusion

Zimo Hao, Zhengyan Wu, Xicheng Zhang

We study existence, regularity, and uniqueness for the nonlinear kinetic Fokker--Planck equation $\partial_{t} f = I^_{v} I^¨ (f) - v \cdot \nabla_{x} f, f ∣_{t = 0} = f_{0},$ on $\mathbb R^{…

math.AP2026

Propagation of chaos for moderately interacting particle systems related to singular kinetic McKean-Vlasov SDEs

This work addresses the propagation of chaos properties in a class of moderately interacting particle systems for the approximation of singular kinetic McKean-Vlasov SDEs driven by…