Ferrario, BenedettaBessaih, Hakima2012-10-292012-10-292012-10-29201210.1007/s10955-012-0601-zhttps://infoscience.epfl.ch/handle/20.500.14299/86378Gaussian measures μβ,ν are associated to some stochastic 2D models of turbulence.They are Gibbs measures constructed by means of an invariant quantity of the system depending on some parameter β (related to the 2D nature of the fluid) and the viscosity ν.We prove the existence and the uniqueness of the global flow for the stochastic viscous system; moreover the measure μβ,ν is invariant for this flow and is the unique invariant measure. Finally, we prove that the deterministic inviscid equation has a μβ,ν-stationary solution (for any ν >0).text::journal::journal article::research article