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Conditions for the Local Boundedness of Solutions of the Navier-Stokes System in Three Dimensions 

Author: Mike O'Leary a
Affiliation:   a Department of Mathematics, Towson University, Towson, Maryland, USA
DOI: 10.1081/PDE-120020490
Publication Frequency: 12 issues per year
Published in: journal Communications in Partial Differential Equations, Volume 28, Issue 3 & 4 January 2003 , pages 617 - 636
Formats available: HTML (English) : PDF (English)
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Abstract

We show that a weak solution of the Navier-Stokes system is locally bounded if there is some ε>0so that either  0490UM0001.gif or  0490UM0002.gif
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