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Intermittency in two-dimensional Ekman-Navier-Stokes turbulence

arXiv:nlin/0111066 · doi:10.1103/PhysRevE.66.026304

Abstract

We study the statistics of the vorticity field in two-dimensional Navier-Stokes turbulence with a linear Ekman friction. We show that the small-scale vorticity fluctuations are intermittent, as conjectured by Nam et al. [Phys. Rev. Lett. vol.84 (2000) 5134]. The small-scale statistics of vorticity fluctuations coincides with the one of a passive scalar with finite lifetime transported by the velocity field itself.

4 pages, 7 figures