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Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise
Abstract We prove global in time well-posedness for perturbations of the 2D stochastic Navier–Stokes equations $$\begin{aligned} \partial _t u + u \cdot \nabla u= & {} \Delta u - \nabla p + \zeta + \xi \;, \qquad u (0, \cdot ) = u_{0} \;,\\ {\text {div}}(u)= & {} 0 \;, …