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Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise. (English) Zbl 1117.60064
The paper presents large deviation principle for a family of stochastic 2D Navier-Stokes equations with a small additive diffusion term in bounded and unbounded domains. The existence and uniqueness of strong solutions are shown via local monotonicity arguments. Large deviations are established with the help of the weak convergence approach.
MSC:
60H15Stochastic partial differential equations