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arXiv · 1908.03375

The microscopic derivation and well-posedness of the stochastic Keller-Segel equation

Hui Huang·Jinniao Qiu
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Abstract

In this paper, we propose and study a stochastic aggregation-diffusion equation of the Keller-Segel (KS) type for modeling the chemotaxis in dimensions $d=2,3$. Unlike the classical deterministic KS system, which only allows for idiosyncratic noises, the stochastic KS equation is derived from an interacting particle system subject to both idiosyncratic and common noises. Both the unique existence of solutions to the stochastic KS equation and the mean-field limit result are addressed.

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Hui Huang, Jinniao Qiu. 2019-08-09. The microscopic derivation and well-posedness of the stochastic Keller-Segel equation. https://arxiv.org/abs/1908.03375

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