Localized Anisotropic Regularity Conditions for the Navier-Stokes Equations

被引：6

作者：

Kukavica, Igor ^{[1
]}

Rusin, Walter ^{[2
]}

Ziane, Mohammed ^{[1
]}

机构：

[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2017年 / 27卷 / 06期

关键词：

Navier-Stokes equations; Conditional regularity; Partial regularity; WEAK SOLUTIONS; CRITERION; PROOF;

D O I：

10.1007/s00332-017-9382-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a sufficient regularity condition for local solutions of the Navier-Stokes equations. For a suitable weak solution (u, p) on a domain D we prove that if belongs to the space where and , then the solution is Holder continuous in D.

引用

页码：1725 / 1742

页数：18

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