3 papers
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-…
math-ph2026
On the generalized Langevin equation and the Mori projection operator technique
Christoph Widder, Johannes Zimmer, Tanja Schilling
In statistical physics, the Nakajima-Mori-Zwanzig projection operator formalism is used to derive an integro-differential equation for observables in a Hilbert space, the generaliz…
math.AP2025
Well-Posedness for Dean-Kawasaki Models of Vlasov-Fokker-Planck Type
Fenna Müller, Max von Renesse, Johannes Zimmer
We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle ev…