Propagation of chaos for a subcritical Keller-Segel model (Q500802)

This paper studies the behaviour and convergence of a particle system associated with a subcritical Keller-Segel equation with a singular kernel and without a cutoff parameter. The kernel takes the form \({x\over|x|^{1+\alpha}}\). The authors show well-posedness and the propagation of a chaos property to a nonlinear stochastic differential equation, namely that the empirical measure of the system tends to the unique solution of the limit equation as the number of particles goes to infinity.