The existence of a martingale solution to 2-dimensional stochastic Euler equations is proved. The constructed solution is a limit as the viscosity converges to zero of a sequence of solutions to modified Navier–Stokes equations.
"Stochastic two dimensional euler equations." Ann. Probab. 29 (4) 1796 - 1832, October 2001. https://doi.org/10.1214/aop/1015345773