Stochastic 3D Rotating Navier-Stokes Equations:Averaging,Convergence and Regularity

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  Regularity results are established by bootstrapping from global regularity of the limit stochastic equations and convergence theorems.The energy injected in the system by the noise is large,the initial condition has large energy,and the regularization time horizon is long.Regularization is the consequence of a precise mechanism of relevant three-dimensional nonlinear interactions and the averaged covariance operator for the stochastic dynamics.Arch.Rat.Mech.Anal,205,195-237,2012(with F.Flandoli).
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