论文标题
Euler方程的随机Leray-α模型
stochastic Leray-α model of Euler equations
论文作者
论文摘要
我们研究了具有转运噪声的Euler方程的随机LERAY-α模型。我们首先使用弱收敛方法来显示欧拉方程的随机LERAY-α模型的较大偏差。然后，我们通过半群方法建立定量收敛率。此外，我们获得了具有强收敛并获得明确速率的中心限制定理。
We study the stochastic Leray-α model of Euler equations with transport noise. We first use weak convergence approach to show the large deviations of the stochastic Leray-α model of Euler equations in a suitable scaling limit. Then, we establish the quantitative convergence rate by semigroup approach. Moreover, we obtain a central limit theorem with strong convergence and get the explicit rate.
