2 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…