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

Fingerprint

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

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

@article{e5b658def74042be9b4087083ffe77b2,

title = "The Minkowski dimension of boundary singular points in the Navier–Stokes equations",

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.",

author = "Choe, {Hi Jun} and Minsuk Yang",

year = "2019",

month = oct

day = "5",

doi = "10.1016/j.jde.2019.05.014",

language = "English",

volume = "267",

pages = "4705--4718",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "8",

}

TY - JOUR

T1 - The Minkowski dimension of boundary singular points in the Navier–Stokes equations

AU - Choe, Hi Jun

AU - Yang, Minsuk

PY - 2019/10/5

Y1 - 2019/10/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85065244413&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065244413&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2019.05.014

DO - 10.1016/j.jde.2019.05.014

M3 - Article

AN - SCOPUS:85065244413

VL - 267

SP - 4705

EP - 4718

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 8

ER -

Access to Document

10.1016/j.jde.2019.05.014