  This paper is concerned with the mean-field limit for the gradient flow
evolution of particle systems with pairwise Riesz interactions, as the number
of particles tends to infinity. Based on a modulated energy method, using
regularity and stability properties of the limiting equation, as inspired by
the work of Serfaty in the context of the Ginzburg-Landau vortices, we prove a
mean-field limit result in dimensions 1 and 2 in cases for which this problem
was still open.
