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Partial Regularity of solutions to the Four-Dimensional Navier-Stokes Equations

Published 6 Feb 2013 in math.AP | (1302.1443v1)

Abstract: In this paper, we consider suitable weak solutions of incompressible Navier--Stokes equations in four spatial dimensions. We prove that the two-dimensional time-space Hausdorff measure of the set of singular points is equal to zero.

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