Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations

被引：31

作者：

Kubica, Adam ^{[2
,3
]}

Pokorny, Milan ^{[1
]}

Zajaczkowski, Wojciech ^{[3
,4
]}

机构：

[1] Charles Univ Prague, Math Inst, Prague 18675 8, Czech Republic

[2] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

[3] Mil Univ Technol, Inst Math & Cryptol, PL-00908 Warsaw, Poland

[4] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 03期

关键词：

Navier-Stokes equations; axial symmetry; regularity criteria; weighted spaces; INTERIOR REGULARITY;

D O I：

10.1002/mma.1586

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the conditional regularity of the solutions to the NavierStokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if a radial or angular component of velocity satisfies a weighted Serrin condition, then the solution is regular. Copyright (c) 2011 John Wiley & Sons, Ltd.

引用

页码：360 / 371

页数：12

共 25 条

[1]

[Anonymous], 2004, Applications of Mathematics

[2]

[Anonymous], 1999, Electron. J. Differential Equations

[3]

[Anonymous], 2002, Methods Appl. Anal.

[4]

[Anonymous], 2002, Topics in Mathematical Fluid Mechanics