Local regularity of axisymmetric solutions to the Navier-Stokes equations

被引：8

作者：

Seregin, G. ^{[1
,2
]}

机构：

[1] Univ Oxford, OxPDE, Math Inst, Oxford, England

[2] VA Steklov Math Inst, St Petersburg Dept, St Petersburg, Russia

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2020年 / 10卷 / 04期

关键词：

Navier-Stokes equations; Axisymmetric solutions; Local regularity; AXIALLY-SYMMETRIC FLOWS;

D O I：

10.1007/s13324-020-00392-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the note, a local regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations is proven. It reads that axially symmetric energy solutions to the Navier-Stokes equations have no Type I blowups.

引用

页数：20

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