A Blow-Up Result for Dyadic Models of the Euler Equations
  We partially answer a question raised by Kiselev and Zlatos in \cite{MR2180809}; in the generalized dyadic model of the Euler equation, a blow-up of $H^{1/3+\delta}$-norm occurs. We recover a few previous blow-up results for various related dyadic models as corollaries. 
In-Jee Jeong, Dong Li
math.AP