A note on a regularity criterion for the Navier-Stokes equations

被引：2

作者：

Skalak, Zdenek ^{[1
]}

机构：

[1] Czech Acad Sci, Inst Hydrodynam, Prague 16612, Czech Republic

来源：

ANNALES POLONICI MATHEMATICI | 2019年 / 122卷 / 02期

关键词：

Navier-Stokes equations; conditional regularity; optimal regularity criteria;

D O I：

10.4064/ap180826-22-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if u is a solution of the Navier-Stokes equations in the whole three-dimensional space and partial derivative(3)u is an element of L-p(0, T; L-q(R-3)), T > 0, where 2/p + 3/q = 1 + 3/q and q is an element of(3, 10/3], then u is regular on (0, T].

引用

页码：193 / 199

页数：7

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