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

被引：2

作者：

Choe, Hi Jun ^{[1
]}

Yang, Minsuk ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, 50 Yonseiro, Seoul, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Navier-Stokes equations; Boundary suitable weak solutions; Minkowski dimension; Boundary singular points; SUITABLE WEAK SOLUTIONS; FRACTAL DIMENSION; SET; REGULARITY;

D O I：

10.1016/j.jde.2019.05.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4705 / 4718

页数：14

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