Kolmogorov's Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in ${\mathbb{R}}^3$

Gui-Qiang G. Chen, James Glimm

We are concerned with the inviscid limit of the Navier-Stokes equations to the Euler equations in ${\mathbb{R}}^3$. We first observe that a pathwise Kolmogorov hypothesis implies the uniform…