Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

Röckner M, Zhang T, Zhang X. Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations. Applied Mathematics and Optimization. 2010;61(2):267-285.In this paper, using weak convergence method, we prove a large deviation principle of Freidlin-Wentzell type for the stochastic tamed 3D Navier-Stokes equations driven by multiplicative noise, which was investigated in (Rockner and Zhang in Probab. Theory Relat. Fields 145(1-2), 211-267, 2009)