Natasa Pavlovic, IAS and Princeton

In this talk we shall introduce a dyadic model for the Euler equations and for the Navier-Stokes equations in three dimension. For the dyadic Euler equations we prove finite time blow-up and 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. This is joint work with Nets Katz.

Anna L Mazzucato Last modified: Wed Dec 3 18:26:11 EST 2003