On the Liouville Type Theorems for Self-Similar Solutions to the Navier-Stokes Equations

被引：26

作者：

Chae, Dongho ^{[1
]}

Wolf, Joerg ^{[2
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

[2] Humboldt Univ, Dept Math, Unter Linden 6, D-10099 Berlin, Germany

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2017年 / 225卷 / 01期

关键词：

SUITABLE WEAK SOLUTIONS; REGULARITY;

D O I：

10.1007/s00205-017-1110-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Liouville type theorems for the self-similar solutions to the Navier-Stokes equations. One of our results generalizes the previous ones by Neas-RuIcA 3/4 ika-verak and Tsai. Using a Liouville type theorem, we also remove a scenario of asymptotically self-similar blow-up for the Navier-Stokes equations with the profile belonging to with .

引用

页码：549 / 572

页数：24