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math.PR2026
Stochastic Scalar Conservation Laws on Moving Hypersurfaces
Ping Chen, Tusheng Zhang
We establish the well-posedness of stochastic scalar conservation laws on moving hypersurfaces driven by Brownian motion. To handle the interaction between stochastic forcing and e…
math.PR2025
Strong well-posedness of the two-dimensional stochastic Navier-Stokes equation on moving domains
Ping Chen, Tianyi Pan, Tusheng Zhang
In this paper, we establish the strong() well-posedness of the two dimensional stochastic Navier-Stokes equation with multiplicative noise on moving domains. Due to the nonloc…
math.PR2023
Large deviations of reflected weakly interacting particle systems
Ping Cheng, Rong Wei, Tusheng Zhang
In this paper, we prove a large deviation principle for the empirical measures of a system of weakly interacting diffusion with reflection. We adopt the weak convergence approach.…