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arXiv · 1309.3348

Boundary partial regularity for the high dimensional Navier-Stokes equations

Hongjie Dong·Xumin Gu
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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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Hongjie Dong, Xumin Gu. 2014-08-07. Boundary partial regularity for the high dimensional Navier-Stokes equations. https://doi.org/10.1016/j.jfa.2014.08.001

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