The Minkowski dimension of interior singular points in the   incompressible Navier--Stokes equations
  We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. We present an improved parabolic upper Minkowski dimension of the possible singular set. It is bounded by $95/63$. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty. 
Youngwoo Koh, Minsuk Yang
math.AP