Random dynamical systems generated by stochastic Navier--Stokes equation   on the rotating sphere
  In this paper we first prove the existence and uniqueness of the solution to the stochastic Navier--Stokes equations on the rotating 2-dimensional sphere. Then we show the existence of an asymptotically compact random dynamical system associated with the equations. 
Zdzislaw Brze\'zniak and Beniamin Goldys and Quoc Thong Le Gia
math.AP