Three-dimensional Navier–Stokes equations driven by space–time white noise.

In this paper we prove existence and uniqueness of local solutions to the three-dimensional (3D) Navier–Stokes (N–S) equation driven by space–time white noise using two methods: first, the theory of regularity structures introduced by Martin Hairer in [16] and second, the paracontrolled distribution proposed by Gubinelli, Imkeller, Perkowski in [12] . We also compare the two approaches. [ABSTRACT FROM AUTHOR]