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On the stochastic 3D Navier-Stokes-alpha model of fluids turbulence
We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent
flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz
conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish
the existence of a such of solution. We also discuss the uniqueness.