Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations
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DOI：
10.1007/s00245-022-09895-8
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发表时间：
2022-07
影响因子：
1.8
通讯作者：
Wei Hong;Miaomiao Li;Shihu Li;W. Liu
中科院分区：
文献类型：
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作者：
Wei Hong;Miaomiao Li;Shihu Li;W. Liu
本文首先研究了具有快速振动的随机驯服三维Navier-Stokes方程的强平均原理，该原理可视为函数大数定律。此外，为了研究偏离极限过程的概率，还利用弱收敛方法建立了Freidlin-Wentzell型大偏差原理.
In this paper, we first study the strong averaging principle for stochastic tamed 3D Navier–Stokes equation with fast oscillations, which can be viewed as the functional law of large numbers. Furthermore, in order to investigate the probability of deviations away from the limiting process, the Freidlin–Wentzell type large deviation principle is also established by employing the weak convergence method.