2 papers
math.PR2024
The Smoluchowski-Kramers approximation for a system with arbitrary friction depending on both state and distribution
Xueru Liu, Qianqian Jiang, Wei Wang
A system of stochastic differential equations describing diffusive phenomena, which has arbitrary friction depending on both state and distribution is investigated. The Smoluchowsk…
math.PR2023
On uniqueness of solutions to degenerate nonlinear Fokker-Planck Equations in Hilbert spaces
Xueru Liu, Xuan Yang, Wei Wang
An -valued stochastic N-interacting particle systems is investigated. Existence and uniqueness of solutions for the degenerate nonlinear Fokker-Planck equation for probab…