Orateur
Li Chen
Description
In this talk, I will present a mean-field derivation of the signal-dependent Keller-Segel system through moderate stochastic particle system in the two-dimensional whole space. The diffusion term in the stochastic model depends nonlinearly on the interactions between the individuals. The convergence is proved by introducing an intermediate particle system with a mollified interaction potential. We present the propagation of chaos result with two different types of mollification scaling, namely logarithmic and algebraic scaling.