On the Smallness of the (Possible) Singular Set in Space for 3D Navier-Stokes Equations
Date
1999-12-03
Authors
Grujic, Zoran
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We utilize L∞ 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.
Description
Keywords
Navier-Stokes equations, Singular set, Turbulence
Citation
Grujic, Z. (1999). On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 1999</i>(48), pp. 1-8.
Rights
Attribution 4.0 International