Almost sure existence of global weak solutions for super-critical Navier-Stokes equations

Andrea R. Nahmod, Nataša Pavlović, Gigliola Staffilani

In this paper we show that after suitable data randomization there exists a large set of super-critical periodic initial data, in $H^{-\alpha }({\mathbb{T}}^d)$ for some $\alpha (d)>0$, for b…