Wuchen Li

activity

20232026

collaborators

4 papers

math.AP2026

Equilibria and linear stability for the Boltzmann equation with radial anharmonic confining potentials

Ling-bing He, Jie Ji, Wu-wei Li

We study the Boltzmann equation in the whole space under the radial anharmonic confining potentials $Φ (x) = ∣ x ∣^{p} / p$ for $p > 2$ and $Φ (x) = ⟨ x ⟩^{p} / p$ for $1 < p < 2$ . We first c…

math.PR2024

Fluctuations in Wasserstein dynamics on Graphs

Yuan Gao, Wuchen Li, Jian-Guo Liu

In this paper, we propose a drift-diffusion process on the probability simplex to study stochastic fluctuations in probability spaces. We construct a counting process for linear de…

math.AP2023

Global stability and scattering theory for non-cutoff Boltzmann equation with soft potentials in the whole space: weak collision regime}

Ling-Bing He, Wu-Wei Li

A Traveling Maxwellian $M = M (t, x, v)$ represents a traveling wave solution to the Boltzmann equation in the whole space $R_{x}^{3}$ (for the spatial variable). Th…

math.PR2023

Langevin dynamics for the probability of finite state Markov processes

Wuchen Li

We study gradient drift-diffusion processes on a probability simplex set with finite state Wasserstein metrics, namely finite state Wasserstein common noises. A fact is that the Ko…