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math.AP2018★ 2 cited
On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
Hui Huang, Jian-Guo Liu, Peter Pickl
We rigorously justify the mean-field limit of a -particle system subject to the Brownian motion and interacting through a Newtonian potential in . Our result leads…
math.AP2017★ 6 cited
Microscopic derivation of the Keller-Segel equation in the sub-critical regime
Ana Cañizares García, Peter Pickl
We derive the two-dimensional Keller-Segel equation from a stochastic system of interacting particles in the case of sub-critical chemosensitivity . The Coulomb interac…