Well-posedness and large deviations for 2D stochastic Navier–Stokes equations with jumps
/ Authors
/ Abstract
Under the classical local Lipschitz and one sided linear growth assumptions on the coefficients of the stochastic perturbations, we first prove the existence and the uniqueness of a strong (in both the probabilistic and PDEs sense) solution to the 2-D Stochastic Navier-Stokes equations driven by multiplicative L\'evy noise. Applying the weak convergence method introduced by [19,18] for the case of the Poisson random measures, we establish a Freidlin-Wentzell type large deviation principle for the strong solution in PDE sense.
Journal: Journal of the European Mathematical Society
DOI: 10.4171/jems/1214