We consider moderately interacting particle systems with singular interaction kernel and environmental noise. It is shown that the mollified empirical measures converge in strong norms to the unique (local) solutions of nonlinear Fokker-Planck equations. The approach works for the Biot-Savart and Poisson kernels.
Coagulation dynamics under environmental noise: scaling limit to SPDE
Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel
Scaling limit and aging for directed trap models
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