ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS

被引：8

作者：

Wang, Wendong ^{[1
]}

Zhang, Liqun ^{[2
,3
]}

Zhang, Zhifei ^{[4
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Chinese Acad Sci, UCAS, Sch Math Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Inst Math, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[4] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 05期

关键词：

Interior regularity criteria; Navier-Stokes equations; LPS criterion; harmonic function; suitable weak solution; SUITABLE WEAK SOLUTIONS; SYSTEM; PROOF;

D O I：

10.3934/dcds.2018110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some interior regularity criteria of the 3-D Navier-Stokes equations involving two components of the velocity. These results in particular imply that if the solution is singular at one point, then at least two components of the velocity have to blow up at the same point.

引用

页码：2609 / 2627

页数：19

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