- 08-161 Sergei B. Kuksin
- On distribution of energy and vorticity for solutions of 2D
Navier-Stokes equation with small viscosity
Sep 9, 08
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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.