

Preprint 55/2000
On the number of singular points of weak solutions to the Navier-Stokes equations
Gregory A. Seregin
Contact the author: Please use for correspondence this email.
Submission date: 08. Sep. 2000
Pages: 14
published in: Communications on pure and applied mathematics, 54 (2001) 8, p. 1019-1028
DOI number (of the published article): 10.1002/cpa.3002
Bibtex
MSC-Numbers: 35K, 76D
Keywords and phrases: navier-stokes equations, partial regularity, hölder continuity, singular point
Download full preprint: PDF (253 kB), PS ziped (131 kB)
Abstract:
We consider a suitable weak solution to the three-dimensional Navier-Stokes equations in the space-time cylinder . Let
be the set of singular points for this solution and
. For a given open subset
and for a given moment of time
, we obtain an upper bound for the number of points of the set
.