Title: Dyadic models for the equations of fluid motion 

Abstract: This talk will be about dyadic models for the equations of 
fluid motion. In the talk we shall introduce a scalar dyadic model for the 
Euler and the Navier-Stokes equations. For the dyadic Euler equations we 
prove finite time blow-up. In the context of the dyadic Navier-Stokes 
equations with hyper-dissipation we prove finite time blow-up in case when 
the degree of dissipation is sufficiently small. Also we shall discuss how 
these results can be generalized to analogous results for a vector dyadic 
model. This talk is based on joint projects with Susan Friedlander and 
Nets Katz.