article

Title: A family of regularity classes for the 3D NSE approximating a critical class

Authors: Zoran Grujic

Issue: Volume 59 (2010), Issue 2, 707-720

Abstract:

$Exploiting the localization of the vortex-stretching mechanism to small spatio-temporal scales obtained in [Zoran Gruji\'c, \textit{Localization and geometric depletion of vortex-stretching in the 3D NSE}, Comm. Math. Phys \textbf{290} (2009), 861--870] and geometric structure of the leading-order vortex-stretching term, a family of regularity classes approximating a critical, NSE-scaling invariant class is obtained.$