3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: Existence, uniqueness and large deviations

Abstract

In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Levy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space $\mathcal{D}([0,T];{\mathbb{H}}^1)$, where the weak convergence approach plays a key role.

arXiv admin note: text overlap with arXiv:1801.09565; text overlap with arXiv:1701.00314 by other authors