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arXiv · 1805.04724

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

Hi Jun Choe·Minsuk Yang
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Abstract

We study the partial regularity problem of the three-dimensional incompressible Navier--Stokes equations. We present a new boundary regularity criterion for boundary suitable weak solutions. As an application, a bound for the parabolic Minkowski dimension of possible singular points on the boundary is obtained.

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Hi Jun Choe, Minsuk Yang. 2018-05-12. The Minkowski dimension of boundary singular points in the Navier--Stokes equations. https://arxiv.org/abs/1805.04724

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