  The evolution of finitely many particles obeying Langevin dynamics is
described by Dean-Kawasaki equations, a class of stochastic equations featuring
a non-Lipschitz multiplicative noise in divergence form. We derive a
regularised Dean-Kawasaki model based on second order Langevin dynamics by
analysing a system of particles interacting via a pairwise potential. Key tools
of our analysis are the propagation of chaos and Simon's compactness criterion.
The model we obtain is a small-noise stochastic perturbation of the undamped
McKean-Vlasov equation. We also provide a high-probability result for existence
and uniqueness for our model.
