3 papers
math.PR2026
Mean-field derivation of a two-dimensional signal-dependent parabolic-elliptic Keller-Segel system in algebraic scaling
Lukas Bol, Li Chen
This paper continues our survey about the mean-field derivation of the two-dimensional signal-dependent Keller-Segel system studied in [1]. Therefore, we consider the same system o…
math.AP2025
Optimal Control for Kuramoto Model: from Many-Particle Liouville Equation to Diffusive Mean-Field Problem
Li Chen, Yucheng Wang, Valeriia Zhidkova
In this paper, we investigate the mean-field optimal control problem of a swarm of Kuramoto oscillators. Using the notion of wrapped distribution, we explain the connection between…
math.OC2024
Mean-Field Control for Diffusion Aggregation system with Coulomb Interaction
Li Chen, Yucheng Wang, Zhao Wang
The mean-field control problem for a multi-dimensional diffusion-aggregation system with Coulomb interaction (the so called parabolic elliptic Keller-Segel system) is considered. T…