On Liouville type theorem for the stationary Navier-Stokes equations

被引：28

作者：

Chae, Dongho ^{[1
,2
]}

Wolf, Jorg ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Math, Heukseok Ro 84, Seoul 06974, South Korea

[2] Korea Inst Adv Study, Sch Math, Hoegi Ro 85, Seoul 02455, South Korea

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 03期

关键词：

35Q30; 76D05; 76D03;

D O I：

10.1007/s00526-019-1549-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a Liouville type theorem for the stationary Navier-Stokes equations in R3. Let V=(Vij) be a potential function of a smooth solution u, which means u=delta<bold>V</bold>. We show that if there exists 3<s<+ such that the Ls mean oscillation of the potential function has certain growth condition near infinity, namely then u0.

引用

页数：11

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