Global well-posedness of stochastic 2D primitive equations with random initial conditions

In this article, we consider 2D stochastic primitive equations (PEs) driven by affine-linear multiplicative white noise and with random initial conditions. We obtain the global well-posedness of the stochastic PEs when the random initial condition satisfies sufficient Malliavin regularity. In the proof process of the global existence of solutions to 2D stochastic PEs, the Malliavin calculus plays a key role. (c) 2020 Elsevier B.V. All rights reserved.