  In finite-dimensional dynamical systems, stochastic stability provides the
selection of physical relevant measures from the myriad invariant measures of
conservative systems. That this might also apply to infinite-dimensional
systems is the inspiration for this work. As an example the 2D Euler equation
is studied. Among other results this study suggests that the coherent
structures observed in 2D hydrodynamics are associated to configurations that
maximize stochastically stable measures uniquely determined by the boundary
conditions in mode space.

Dynamical Systems;Fluid Dynamics