| Abstract: |
| We derive a sufficient condition under which a version of Kolmogorov`s 4/5 law can be rigorously proved for stationary solutions of the 3D stochastic Navier-Stokes equations. We name this condition `weak anomalous dissipation condition`. A similar condition allows to prove flux scaling laws for the 2D stochastic Navier-Stokes equations, including a scaling law for the inverse cascade. We also derive necessary conditions which are needed for the same scaling laws to hold. |
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