A new proof of partial regularity of solutions to Navier-Stokes equations

被引：107

作者：

Vasseur, Alexis F. ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2007年 / 14卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes; regularity; De Giorgi; energy method;

D O I：

10.1007/s00030-007-6001-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a new proof of the partial regularity of solutions to the incompressible Navier-Stokes equation in dimension 3 first proved by Caffarelli, Kohn and Nirenberg. The proof relies on a method introduced by De Giorgi for elliptic equations.

引用

页码：753 / 785

页数：33

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