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.
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页码：955 / 987
页数：33
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