Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 48, pp. 1-8.

Title: On the smallness of the (possible) singular set in space for 
       3D Navier-Stokes equations

Author: Zoran Grujic (Univ. of Texas, Austin, Texas, USA)

Abstract: 
 We utilize $L^\infty$ estimates on the complexified solutions of 3D
 Navier-Stokes equations via a plurisubharmonic measure type maximum principle
 to give a short proof of the fact that the Hausdorff dimension of the
 (possible) singular set in  space is less or equal 1 assuming chaotic,
 Cantor set-like structure of the blow-up profile.

Submitted August 20, 1999. Published December 3, 1999.
Math Subject Classifications: 35Q30, 76D03.
Key Words: Navier-Stokes equations; singular
set; turbulence.