Local Regularity Criteria in Terms of One Velocity Component for the Navier-Stokes Equations

被引：0

作者：

Kang, Kyungkeun ^{[1
]}

Nguyen, Dinh Duong ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2023年 / 25卷 / 01期

关键词：

Local energy solutions; Suitable weak solutions; Navier-Stokes equations; one velocity component; Ladyzhenskaya-Prodi-Serrin regularity condition; SUITABLE WEAK SOLUTIONS; INTERIOR REGULARITY; PROOF;

D O I：

10.1007/s00021-022-00754-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to presenting new interior regularity criteria in terms of one velocity component for weak solutions to the Navier-Stokes equations in three dimensions. It is shown that the velocity is regular near a point z if its scaled (LtLxq)-L-p-norm of some quantities related to the velocity field is finite and the scaled (LtLxq)-L-p-norm of one velocity component is sufficiently small near z.

引用

页数：15

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