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

Hi Jun Choe; Minsuk Yang

doi:10.1016/j.jde.2019.05.014

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

Hi Jun Choe, Minsuk Yang

Department of Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	4705-4718
Number of pages	14
Journal	Journal of Differential Equations
Volume	267
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2019.05.014
Publication status	Published - 2019 Oct 5

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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Choe, H. J., & Yang, M. (2019). The Minkowski dimension of boundary singular points in the Navier–Stokes equations. Journal of Differential Equations, 267(8), 4705-4718. https://doi.org/10.1016/j.jde.2019.05.014

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