Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
复制标题
DOI：
--
复制
发表时间：
2010
影响因子：
3.4
通讯作者：
H. Bessaih;A. Millet
中科院分区：
文献类型：
--
作者：
H. Bessaih;A. Millet
。利用弱收敛方法，证明了二维随机Navier-Stokes方程当粘性收敛到0且噪声强度乘以粘性的平方根时的解的LPD。与以往关于流体力学模型的LDP结果不同，本文利用解在适当的函数空间中分布的紧性来证明其弱收敛。
. Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. Unlike previous results on LDP for hydrodynamical models, the weak convergence is proven by tightness properties of the distribution of the solution in appropriate functional spaces.