  For a class of evolution equations that possibly have only local solutions,
we introduce a stochastic component that ensures that the solutions of the
corresponding stochastically perturbed equations are global. The class of
partial differential equations amenable for this type of treatment includes the
3D Navier-Stokes equation, the rotating shallow water equation (viscous and
inviscid), 3D Euler equation (in vorticity form), 2D Burgers' equation and many
other fluid dynamics models.
