On Strong $H_{2}^{1}$-Solutions of Stochastic Navier–Stokes Equation in a Bounded Domain

We prove the existence and uniqueness of strong local $H_{2}^{1}$-solutions to stochastic Navier–Stokes equation in a bounded domain. The solution is global in two dimensions (2D).MSC codes60H1535Q3076D03MSC codesstochastic Navier–Stokes equationstrong solutions