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.
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页码：4705 / 4718
页数：14
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