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二维带跳Navier-Stokes方程解的大偏差原理

Large Deviations for 2-D Stochastic Navier-Stokes Equations with Jumps
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摘要 在带泊松跳二维随机Navier-Stokes方程解的解的存在唯一性的基础上,利用弱收敛的方法证明了带泊松跳二维随机Navier-Stokes方程解的Freidlin-Wentzell型的大偏差原理. In this paper,under the existence and uniqueness of the solution of stochastic 2-D Navier-Stokes equation,we prove Freidlin-Wentzell's large deviation principle for 2-D Stochastic Navier-Stokes Equation driven by multiplicative noise with Poisson jumps by using weak convergence approach.
作者 赵辉艳
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2012年第3期499-516,共18页 Acta Mathematica Sinica:Chinese Series
关键词 二维随机Navier-Stokes方程 泊松跳测度 大偏差原理 2-D stochastic Navier-Stokes equation poisson jumps large deviation
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