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

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.

arXiv admin note: substantial text overlap with arXiv:1101.5580

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