On boundary regularity of the Navier-Stokes equations

被引：17

作者：

Kang, KK ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 7-8期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; green tensor;

D O I：

10.1081/PDE-200033743

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary regularity of weak solutions of the Navier-Stokes equations in the half-space in dimension n greater than or equal to 3. We prove that a weak solution u which is locally in the class L-p,L-q with 2/p + n/q = 1, q > n near boundary is Holder continuous up to the boundary. Our main tool is a pointwise estimate for the fundamental solution of the Stokes system, which is of independent interest.

引用

页码：955 / 987

页数：33

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