Strong convergence for explicit space-time discrete numerical approximation for 2D stochastic Navier-Stokes equations

Abstract

In this paper we show the strong convergence of a fully explicit space-time discrete approximation scheme for the solution process of the two-dimensional incompressible stochastic Navier-Stokes equations on the torus driven by additive noise. To do so we apply an existing result which was designed to prove strong convergence for the same approximation method for other stochastic partial differential equations with non-globally monotone non-linearities.