Kolmogorov's Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in ℝ 3

We are concerned with the inviscid limit of the Navier-Stokes equations to the Euler equations in ℝ 3. We first observe that a pathwise Kolmogorov hypothesis implies the uniform boundedness of the α th-order fractional derivatives of the velocity for some α > 0 in the space variables in L 2,...