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.
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Communicated by G. Gallavotti
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Kuksin, S.B. On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity. Commun. Math. Phys. 284, 407–424 (2008). https://doi.org/10.1007/s00220-008-0577-3
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DOI: https://doi.org/10.1007/s00220-008-0577-3