19 citations · 64 across the 28 of their papers we have counts for
28 papers
Well-posedness and large deviations for the obstacle problem of first-order stochastic conservation laws
Ruoyang Liu, Rangrang Zhang
This paper studies the obstacle problem for first-order scalar conservation laws driven by multiplicative noise. By adapting a barrier-substitution strategy to the kinetic formulat…
Well-posedness of the obstacle problem for generalized Dean-Kawasaki equation
Ruoyang Liu, Rangrang Zhang
We investigate the obstacle problem for generalized Dean--Kawasaki equations driven by correlated conservative noise, establishing the existence, uniqueness, and -stability of…
Large deviation principles for the stationary solutions and invariant measures of a class of SPDE with locally monotone coefficients
Yong Liu, Bin Tang, Rangrang Zhang
We establish the well-posedness of stationary solutions for a class of SPDEs with locally monotone coefficients, and prove the Freidlin--Wentzell large deviation principle (LDP) fo…
McKean-Vlasov PDE with Irregular Drift and Applications to Large Deviations for Conservative SPDEs
Zhengyan Wu, Rangrang Zhang
Inspired by [Fehrman, Gess; Invent. Math., 2023], we provide a fine analysis of the McKean-Vlasov PDE with singular interactions and drift terms of square root form. As the corresp…
Well-posedness of Dean-Kawasaki Equation with Singular Interactions
Likun Wang, Zhengyan Wu, Rangrang Zhang
Inspired by [Fehrman, Gess; Invent. Math., 2023] and [Fehrman, Gess; Arch. Ration. Mech. Anal., 2024], we consider the Dean-Kawasaki equation with singular interactions and correla…
Central limit theorem and moderate deviation principle for stochastic scalar conservation laws
Zhengyan Wu, Rangrang Zhang
We establish a central limit theorem and prove a moderate deviation principle for stochastic scalar conservation laws. Due to the lack of viscous term, this is done in the framewor…