6 citations · 26 across the 25 of their papers we have counts for
4 papers · 2 filters
Kinetic Theory with Fluctuations: Well-Posedness of The Vlasov--Fokker--Planck--Dean--Kawasaki Equations
Zimo Hao, Zhengyan Wu, Johannes Zimmer
We study Vlasov--Fokker--Planck--Dean--Kawasaki equations driven by correlated conservative noise. For regular noise coefficients and bounded nonlocal interactions, we establish pr…
Strong and weak well-posedness of McKean-Vlasov SDEs driven by -stable processes under unified condition
Zimo Hao
In this paper, we consider and establish the strong well-posedness of McKean--Vlasov SDEs driven by an -stable process with a Hölder (Besov) kernel $K \in \mathbf{C…
Kinetic SDEs with subcritical distributional drifts
Zikai Chen, Zimo Hao, Xicheng Zhang
In this paper we study the well-posedness of the kinetic stochastic differential equation (SDE) in driven by Brownian motion: $$\mathord{\rm d} X_t=V_t\mat…
Quantitative approximation to density dependent SDEs driven by -stable processes
Ke Song, Zimo Hao, Mingkun Ye
Based on a class of moderately interacting particle systems, we establish a quantitative approximation for density-dependent McKean-Vlasov SDEs and the corresponding nonlinear, non…