Sergei B. Kuksin
On distribution of energy and vorticity for solutions of 2D 
Navier-Stokes equation with small viscosity
(331K, pdf)

ABSTRACT.  We study distributions of some functionals of space-periodic solutions for the randomly perturbed 2D~Navier-Stokes equation, and of their limits when the viscosity goes to zero. The results obtained give explicit information on distribution of the velocity field of space-periodic turbulent 2D~flows.