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

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...

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Bibliographic Details
Main Author: Zoran Grujic
Format: Article
Language:English
Published: Texas State University 1999-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1999/48/abstr.html