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arXiv · 1603.01007

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

Youngwoo Koh·Minsuk Yang
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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 $95/63$. The result also continue to hold for the three dimensional incompressible magnetohydrodynamic equations without any difficulty.

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Youngwoo Koh, Minsuk Yang. 2016-03-03. The Minkowski dimension of interior singular points in the incompressible Navier--Stokes equations. https://arxiv.org/abs/1603.01007

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