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arXiv · 2602.01138

Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system

Jinhuan Wang·Keyu Li·Hui Huang
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Abstract

We rigorously derive a two-dimensional Keller-Segel type system with signal-dependent sensitivity from a stochastic interacting particle model. By employing suitably defined stopping times, we prove that the convergence of the interacting particle system towards the corresponding mean-field limit equations in probability under an algebraic scaling regime which improves upon existing results with logarithmic scaling. Building on this, we apply the relative-entropy method to obtain strong $L^1$ propagation of chaos, and establish an algebraic convergence rate.

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Jinhuan Wang, Keyu Li, Hui Huang. 2026-02-01. Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system. https://arxiv.org/abs/2602.01138

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