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Propagation of chaos for a subcritical Keller-Segel model. (English. French summary) Zbl 1342.65234
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.

65P20 Numerical chaos
65C35 Stochastic particle methods
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