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.
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页码：171 / 201
页数：31
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