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DYADIC MODELS FOR THE EQUATIONS OF FLUID MOTION

In this note we describe results addressing the behavior of a certain toy model for the equations of fluid motion, the so called “dyadic” model. Some of the results that will be reviewed here were obtained in last few years in collaborations with Alexey Cheskidov and Nets Katz. The authors are thankful to their coauthors for inspiring collaborations. The review presented here is far from being exhaustive and it is beyond the scope of this short paper to describe all the large body of work on the discretized models for the fluid equations.