Probability Seminar——Well-posedness for 2-D Stochastic Navier-Stokes equations with jumps

Abstract: Under the classical local Lipschitz and one sided linear growth assumptions on the coefficients of the stochastic perturbations, we 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 Levy noise. This talk is based on joint work with Zdzislaw Brzezniak  and Xuhui Peng.