Showing math.APShow all
2 papers · 1 filter
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.AP2024
Local existence of classical solution to the chemotaxis-shallow water system with vacuum in
Li Chen, Zhen Luo, Yucheng Wang
In this paper, we consider the chemotaxis-shallow water system in . We establish the local existence of classical solution without assuming the initial height is smal…