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math.AP2026
Uniform large deviations and long-time dynamics for the 2D anisotropic Navier-Stokes equations on the torus
Chengfeng Sun, Hao Yu, Hui Liu
We study the two-dimensional stochastic Navier-Stokes equations on the torus with horizontal dissipation and additive noise. First, we prove a uniform large deviation principle for…
math.AP2023
Large deviations of invariant measure for the 3D stochastic hyperdissipative Navier-Stokes equations
Zhaoyang Qiu, Hui Liu, Chengfeng Sun
In this paper, we consider the large deviations of invariant measure for the 3D stochastic hyperdissipative Navier-Stokes equations driven by additive noise. The unique ergodicity…
math.AP2023
Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
Hui Liu, Chengfeng Sun, Mei Li
The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional…