Stochastic Navier-Stokes Equations on a Thin Spherical Domain.

Incompressible Navier-Stokes equations on a thin spherical domain Q ε along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier-Stokes equations on a sphere S 2 as the thickness converges to zero is established.