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

共 50 条

[31] Tangential boundary stabilization of Navier-Stokes equations
Barbu, V
Lasiecka, I
Triggiani, R
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 181 (852) : 1 - +
[32] Boundary layers for the conical Navier-Stokes equations
Rasmussen, M.L., 1600, (28):
[33] BOUNDARY ELEMENTS FOR THE SOLUTION OF NAVIER-STOKES EQUATIONS
ALUJEVIC, A
KUHN, G
SKERGET, P
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 91 (1-3) : 1187 - 1201
[34] Boundary element analysis of Navier-Stokes equations
Matsunashi, J.
Okamoto, N.
Futagami, T.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (03) : 471 - 476
[35] Navier-Stokes equations with slip boundary conditions
Guo, Ben-Yu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (05) : 607 - 626
[36] Interior and boundary stabilization of Navier-Stokes equations
Triggiani, R
SYSTEM MODELING AND OPTIMIZATION, 2005, 166 : 41 - 58
[37] Strong solutions of the Navier-Stokes equations with singular data
Kozono, Hideo
Shimizu, Senjo
MATHEMATICAL ANALYSIS IN FLUID MECHANICS: SELECTED RECENT RESULTS, 2018, 710 : 163 - 173
[38] ON SINGULAR NAVIER-STOKES EQUATIONS AND IRREVERSIBLE PHASE TRANSITIONS
Boldrini, Jose Luiz
de Miranda, Luis H.
Planas, Gabriela
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (05) : 2055 - 2078
[39] NAVIER-STOKES EQUATIONS IN SPACE DIMENSION-4
SCHEFFER, V
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (01) : 41 - 68
[40] Some results on the Navier-Stokes equations with Navier boundary conditions
Berselli, Luigi C.
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2010, 1 (01): : 1 - 75

← 1 2 3 4 5 →