Scaling limits of interacting diffusions with arbitrary initial distributions
It is remarked that for Brownian particles interacting with a smooth repulsive pair potential the nonlinear diffusion equation which \textit{S. R. S. Varadhan} has derived under an entropy bound for initial densities [Commun. Math. Phys. 135, No. 2, 313-353 (1991; Zbl 0725.60085)] is valid whatever initial distribution they start with.
scientific article; zbMATH DE number 627488