On the number of singular points of weak solutions to the Navier-Stokes equations

Gregory A. Seregin

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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
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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 .