On partial regularity of steady-state solutions to the 6D Navier-Stokes equations Hongjie DongRobert Strain 35Q3076D0376D05Navier-Stokes equationspartial regularityHausdorff's dimension Consider steady-state weak solutions to the incompressible Navier-Stokes equations in six spatial dimensions. We prove that the 2D Hausdorff measure of the set of singular points is equal to zero. This problem was mentioned in 1988 by Struwe [M. Struwe, \textit{On partial regularity results for the Navier-Stokes equations}, Comm. Pure Appl. Math. \textbf{41} (1988), no. 4, 437--458], during his study of the five-dimensional case. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4765 10.1512/iumj.2012.61.4765 en Indiana Univ. Math. J. 61 (2012) 2211 - 2229 state-of-the-art mathematics http://iumj.org/access/