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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.

##### MSC:
 65P20 Numerical chaos 65C35 Stochastic particle methods
##### Keywords:
Keller-Segel; propagation of chaos; well-posedness
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##### References:
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