Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

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Local and global well-posedness of SPDE with generalized coercivity conditions☆ (2012, methodology): “In this part we consider a tamed version of the (stochastic) 3D Navier-Stokes equation, which was proposed recently in [45, 46] (see also [44, 43]).”
Large Deviations for Stochastic Partial Differential Equations Driven by a Poisson Random Measure (2012, methodology): “In recent years an approach based on certain variational representation formulas for moments of nonnegative functionals of Brownian motions [7] has been increasingly used for the study of the small noise large deviation problem for Brownian motion driven infinite dimensional systems [2, 7, 8, 10, 13”
Large deviation properties of weakly interacting processes via weak convergence methods (2010, background): “A small selection is [14, 29, 30, 31] see [8] for a more complete list.”
Well-posedness of stochastic partial differential equations with Lyapunov condition (2013, methodology): “[31–33]), one can verify the growth condition in [23,22] if we use the following Gelfand triple: V := H2 ⊆ H := H1 ⊆ V ∗.”