Boundary partial regularity for the high dimensional Navier-Stokes equations

Published 13 Sep 2013 in math.AP | (1309.3348v3)

Abstract: We consider suitable weak solutions of the incompressible Navier--Stokes equations in two cases: the 4D time-dependent case and the 6D stationary case. We prove that up to the boundary, the two-dimensional Hausdorff measure of the set of singular points is equal to zero in both cases.

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