# Finite time blow-up for a dyadic model of the Euler equations

@article{Katz2004FiniteTB, title={Finite time blow-up for a dyadic model of the Euler equations}, author={Nets Hawk Katz and Nata{\vs}a Pavlovi{\'c}}, journal={Transactions of the American Mathematical Society}, year={2004}, volume={357}, pages={695-708} }

We introduce a dyadic model for the Euler equations and the Navier-Stokes equations with hyper-dissipation in three dimensions. 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 the case when the dissipation degree is sufficiently small.

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