Partial Regularity of solutions to the Four-Dimensional Navier-Stokes Equations
Analysis of PDEs
2014-07-28 v1
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.
Keywords
Cite
@article{arxiv.1302.1443,
title = {Partial Regularity of solutions to the Four-Dimensional Navier-Stokes Equations},
author = {Hongjie Dong and Xumin Gu},
journal= {arXiv preprint arXiv:1302.1443},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1101.5580