On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation

被引：7

作者：

Cortissoz, Jean C. ^{[1
]}

Montero, Julio A. ^{[1
]}

Pinilla, Carlos E. ^{[1
]}

机构：

[1] Univ Los Andes, Dept Matemat, Bogota, Colombia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 03期

关键词：

WEAK SOLUTIONS; REGULARITY; CRITERION;

D O I：

10.1063/1.4867616

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show a new lower bound on the. H-3/2 (T-3) norm of a possible blow-up solution to the Navier-Stokes equation, and also comment on the extension of this result to the whole space. This estimate can be seen as a natural limiting result for Leray's blow-up estimates in L-p (R-3), 3 < p < infinity. We also show a lower bound on the blow-up rate of a possible blow-up solution of the Navier-Stokes equation in. H-5/2 (T-3), and give the corresponding extension to the case of the whole space. (C) 2014 AIP Publishing LLC.

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页数：10

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