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math.PR2023★ 1 cited
Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part II Propagation of Chaos
Li Chen, Veniamin Gvozdik, Yue Li
This work is a series of two articles. The main goal is to rigorously derive the degenerate parabolic-elliptic Keller-Segel system in the sub-critical regime from a moderately inte…
math.PR2023
Convergence towards the population cross-diffusion system from stochastic many-particle system
Yue Li, Li Chen, Zhipeng Zhang
In this paper, we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle system in the whole space. The convergence is proved in the sens…