The Minkowski dimension of interior singular points in the incompressible Navier--Stokes equations

preprint2016arXivOpen access

Abstract

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 95/6395/63. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty.

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