most citedOn the generalized Langevin equation and the Mori projection operator technique

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math.PR2026

Kinetic Theory with Fluctuations: Strong Well-Posedness of the Vlasov-Fokker-Planck-Dean-Kawasaki System

Zimo Hao, Zhengyan Wu, Johannes Zimmer

The strong well-posedness of the Vlasov-Fokker-Planck-Dean-Kawasaki (VFPDK) equation with correlated noise is established. This equation can be interpreted as the fluctuating mean-…