Almost Sure Existence of Global Weak Solutions to the 3D Incompressible Navier-Stokes Equation

Jingrui Wang, Keyan Wang

In this paper we prove the almost sure existence of global weak solution to the 3D incompressible Navier-Stokes Equation for a set of large data in ${\dot{H}}^{-\alpha }({\mathbb{R}}^3)$ o…