Finite Time Blow-up for a Dyadic Model of the Euler Equations

@inproceedings{2004FiniteTB,
  title={Finite Time Blow-up for a Dyadic Model of the Euler Equations},
  author={},
  year={2004}
}
  • Published 2004
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.