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math.PR2026
Exponential Mixing for 2D Stochastic Damped Euler Equation Driven by Bounded Noise
Rui Bai, Chunrong Feng, Huaizhong Zhao
In this paper, we study the long-time behaviour of the two-dimensional stochastic damped Euler equation on the torus driven by bounded random forcing. Unlike stochastic Navier-Stok…
math.PR2026
Large deviations for invariant measure of stochastic Allen-Cahn equation with inhomogeneous boundary conditions and multiplicative noise
Rui Bai, Chunrong Feng, Huaizhong Zhao
We establish a small-noise large deviation principle for the family of invariant measures associated with the one-dimensional stochastic Allen-Cahn equation, sub…
math.PR2024
Large deviations principle for invariant measures of stochastic Burgers equations
Rui Bai, Chunrong Feng, Huaizhong Zhao
We study the small noise asymptotic for stochastic Burgers equations on with Dirichlet boundary condition. We consider the case that the noise is more singular than space-t…