Title:Cascades in 2d turbulence, an overview of some recent theoretical 
results


Abstract:
I will give an overview of some recent results concerning 2d 
Navier-Stokes turbulence. These include the derivation of 
Kraichnan-Kolmogorov's theory from the Karman-Howarth-Monin equation 
(Bernard, Lindborg), the role of the dissipation in the direct cascade 
(Ott et al, Vergassola et al). I will also shortly discuss scaling 
predictions for 2d Navier-Stokes based on renormalization group analysis 
(Honkonen et al) and contrast them to the outcome of numerical 
experiments in the parametric domain where they should apply.