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].
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页码：193 / 199
页数：7
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