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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…
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…