Abstract
This article investigates the multiscale stochastic 3D fractional Leray-α model. By using the Khasminskii technique, we establish the strong average principle for stochastic 3D fractional Leray-α model with a fast oscillation. This model is the stochastic 3D Navier–Stokes equations regularized through a smoothing kernel of order θ1 in the nonlinear term and a θ2-fractional Laplacian. The main result is applicable to the classical stochastic 3D Leray-α model (), stochastic 3D hyperviscous Navier–Stokes equations () and stochastic 3D critical Leray-α model ().
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