On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier-Stokes Equations

被引：66

作者：

Seregin, G. ^{[1
]}

Sverak, V. ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 02期

关键词：

Axial symmetry; Navier-Stokes equations; Regularity; SUITABLE WEAK SOLUTIONS; LIOUVILLE-TYPE THEOREMS; SELF-SIMILAR SOLUTIONS; SUPERLINEAR PROBLEMS; ELLIPTIC-EQUATIONS; PARTIAL REGULARITY;

D O I：

10.1080/03605300802683687

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.

引用

页码：171 / 201

页数：31

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