Stochastic Navier-Stokes Equations in Unbounded Channel Domains
  In this paper we prove the existence and uniqueness of path-wise strong solution to stochastic viscous flow in unbounded channels with multiple outlets using local monotonicity arguments. We devise a construction for solvability using a stochastic basic vector field. 
Utpal Manna, Manil T. Mohan and Sivaguru S. Sritharan
math.PR math.AP