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

Hi Jun Choe; Minsuk Yang

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

Analysis of PDEs 2018-11-13 v3

Authors: Hi Jun Choe , Minsuk Yang

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.

Keywords

Navier--Stokes equations partial regularity boundary suitable weak solutions Minkowski dimension singular points

Cite

@article{arxiv.1805.04724,
  title  = {The Minkowski dimension of boundary singular points in the Navier--Stokes equations},
  author = {Hi Jun Choe and Minsuk Yang},
  journal= {arXiv preprint arXiv:1805.04724},
  year   = {2018}
}

Comments

16 pages

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