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

共 50 条

[1] Regularity of solutions to the Navier-Stokes equations
Shananin, NA
MATHEMATICAL NOTES, 1996, 59 (5-6) : 574 - 578
[2] On the regularity of solutions to the Navier-Stokes equations
Lewalle, J
IUTAM SYMPOSIUM ON REYNOLDS NUMBER SCALING IN TURBULENT FLOW, 2004, 74 : 241 - 244
[3] ON REGULARITY OF SOLUTIONS OF NAVIER-STOKES EQUATIONS
DYER, RH
EDMUNDS, DE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 44 (173P): : 93 - &
[4] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Chae, D
Lee, J
MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) : 645 - 671
[5] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Dongho Chae
Jihoon Lee
Mathematische Zeitschrift, 2002, 239 : 645 - 671
[6] REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
VONWAHL, W
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 45 : 497 - 503
[7] PARTIAL REGULARITY OF SOLUTIONS TO NAVIER-STOKES EQUATIONS
SCHEFFER, V
PACIFIC JOURNAL OF MATHEMATICS, 1976, 66 (02) : 535 - 552
[8] REGULARITY OF NAVIER-STOKES EQUATIONS
Moise, Ioana
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2006, 19 (01) : 31 - 50
[9] On partial regularity for weak solutions to the Navier-Stokes equations
He, C
JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 211 (01) : 153 - 162
[10] THE NAVIER-STOKES EQUATIONS - ON THE EXISTENCE, REGULARITY AND DECAY OF SOLUTIONS
HEYWOOD, JG
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1980, 29 (05) : 639 - 681

← 1 2 3 4 5 →