Boundary partial regularity for the high dimensional Navier-Stokes equations

被引：15

作者：

Dong, Hongjie ^{[1
]}

Gu, Xumin ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 267卷 / 08期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; Partial regularity; Boundary estimates; SUITABLE WEAK SOLUTIONS;

D O I：

10.1016/j.jfa.2014.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider suitable weak solutions of the incompressible Navier-Stokes equations in two cases: the 4D time-dependent case and the 6D stationary case. We prove that up to the boundary, the two-dimensional Hausdorff measure of the set of singular points is equal to zero in both cases. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：2606 / 2637

页数：32

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