Dyadic Models

Abstract

The classical 3-dimensional Euler equations are the system of PDEs

$\begin{array}{ll}\frac{\partial u}{\partial t} + (u \cdot \nabla) u & + \nabla p = 0\\ & {\rm div}\,\, u = 0 \end{array}$

where $u : [0,T]\times D \, \rightarrow \, \mathbb{R}^3$is the velocity field of the fluid and $p : [0,T]\times D \, \rightarrow \, \mathbb{R}^3$ is the pressure field.