Remark on the spatial regularity for the Navier-Stokes equations

Let u be a Leray-Hopf weak solution to the Navier-Stokes equations. We will show that the set of possible singular points of the vector field resulting from integrating the velocity u with respect to time has Hausdorff dimension zero.

Bibliographic Details
Main Author: Cheng He
Format: Article
Language:English
Published: Texas State University 2008-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/120/abstr.html