Large deviations for stochastic tamed 3D Navier-Stokes equations
The paper deals with the stochastic tamed 3 dimensional Navier-Stokes equation driven by multiplicative Gaussian noise. They consider the equation on the hole Euclidian space or on the torus and prove a small noise large deviation of Freidlin-Wentzell type. The main ingredient of the proof is the weak convergence approach by Dupuis-Ellis. They rewrite the equation to an abstract stochastic evolution one and prove that the perturbed evolution equation satisfies the large deviation principle. Existence and uniqueness results are dealt with in a former paper of the authors.
stochastic tamed 3D Navier-Stokes equation
scientific article; zbMATH DE number 5695470
scientific article