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arXiv · 1812.00900

Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations

Yanqing Wang·Minsuk Yang
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Abstract

In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier--Stokes equations. It is shown that upper box dimension of interior singular points and boundary singular points are bounded by $7/6$ and $10/9$, respectively. Both proofs rely on recent progress of $\varepsilon$-regularity criteria at one scale.

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Yanqing Wang, Minsuk Yang. 2018-12-03. Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations. https://doi.org/10.1088/1361-6544%2Fab3f51

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