Boundary partial regularity for the high dimensional Navier-Stokes equations
Analysis of PDEs
2014-08-15 v3
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.
Cite
@article{arxiv.1309.3348,
title = {Boundary partial regularity for the high dimensional Navier-Stokes equations},
author = {Hongjie Dong and Xumin Gu},
journal= {arXiv preprint arXiv:1309.3348},
year = {2014}
}
Comments
Revision, 28 Pages, to appear in J. Funct. Anal