On the interior regularity criteria and the number of singular points to the Navier-Stokes equations

被引：35

作者：

Wang, Wendong ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

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

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

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2014年 / 123卷

关键词：

SUITABLE WEAK SOLUTIONS; PROOF;

D O I：

10.1007/s11854-014-0016-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some interior regularity criteria for suitable weak solutions of the 3-D Navier-Stokes equations which allow the vertical part of the velocity to be large under the local scaling invariant norm. As an application, we improve Ladyzhenskaya-Prodi-Serrin's criterion and Escauriza-Seregin-verak's criterion. We also show that if a weak solution u satisfies parallel to u(.,t)parallel to L-P <= C(-t)((3-P)/2p) for some 3 < p < a, then the number of singular points is finite.

引用

页码：139 / 170

页数：32

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