ON THE REGULARITY OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

被引：6

作者：

Pata, Vittorino ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 02期

关键词：

Navier-Stokes equations; weak solutions; strong solutions; blow-up; regularity criteria; WEAK SOLUTIONS; INTERIOR REGULARITY; CRITERIA;

D O I：

10.3934/cpaa.2012.11.747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the incompressible Navier-Stokes equations in a three-dimensional domain. A criterion of Prodi-Serrin type up to the boundary for global existence of strong solutions is established.

引用

页码：747 / 761

页数：15

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