Existence and uniqueness of weak solutions to stochastic 3D Navier–Stokes equations with delays

Abstract

The main goal of this article is to study the 3D stochastic incompressible Navier–Stokes equations with delays in the convective term. Firstly, we consider the stochastic 3D Navier–Stokes equations with delays and obtain the local existence and uniqueness of the weak solutions, then we obtain the existence of global weak solutions by using the priori estimates.