3 papers
math.PR2026
Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system
Jinhuan Wang, Keyu Li, Hui Huang
We rigorously derive a two-dimensional Keller-Segel type system with signal-dependent sensitivity from a stochastic interacting particle model. By employing suitably defined stoppi…
math.AP2025
Mathematical Analysis of the PDE Model for the Consensus-based Optimization
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we develop an analytical framework for the partial differential equation underlying the consensus-based optimization model. The main challenge arises from the nonlin…
math.AP2024
Error Estimation in the Mean-Field Limit of Kinetic Flocking Models with Local Alignments
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we present an innovative particle system characterized by moderate interactions, designed to accurately approximate kinetic flocking models that incorporate singular…