各向异性粘性二维随机Navier-斯托克斯方程的大偏差原理
Large deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity
摘要：
本文建立了具有各向异性粘性的二维随机Navier-斯托克斯方程在小噪声和短时条件下的大偏差原理。大偏差原理的证明是基于弱收敛方法。对于小时间渐近性，我们使用指数等价性来证明结果。
英文摘要：
In this paper we establish the large deviation principle for the the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity both for small noise and for short time. The proof for large deviation principle is based on the weak convergence approach. For small time asymptotics we use the exponential equivalence to prove the result.
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