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- W4289287937 abstract "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." @default.
- W4289287937 created "2022-08-02" @default.
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- W4289287937 date "2018-11-15" @default.
- W4289287937 modified "2023-09-28" @default.
- W4289287937 title "From weakly interacting particles to a regularised Dean--Kawasaki model" @default.
- W4289287937 doi "https://doi.org/10.48550/arxiv.1811.06448" @default.
- W4289287937 hasPublicationYear "2018" @default.
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