Regularity condition of the incompressible Navier-Stokes equations in terms of one velocity component

被引：4

作者：

Bae, Hantaek ^{[1
]}

Kang, Kyungkeun ^{[2
]}

机构：

[1] UNIST, Dept Math Sci, Ulsan, South Korea

[2] Yonsei Univ, Dept Math, Seoul, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 94卷

基金：

新加坡国家研究基金会;

关键词：

Navier-Stokes equations; Type; 1; singularity; Blow-up analysis; GLOBAL REGULARITY; WEAK SOLUTIONS; CRITERION; PRESSURE; GRADIENT;

D O I：

10.1016/j.aml.2019.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a new regularity criterion of smooth solutions via the one component of the velocity field in various scaling invariant spaces with a natural growth condition of the L-infinity norm near a possible blow-up time. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：120 / 125

页数：6

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