A Liouville-type theorem for the stationary Navier-Stokes equations

被引：1

作者：

Cho, Youseung ^{[2
]}

Choi, Jongkeun ^{[1
]}

Yang, Minsuk ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math Educ, Busan 46241, South Korea

[2] Yonsei Univ, Dept Math, Seoul 03722, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 143卷

基金：

新加坡国家研究基金会;

关键词：

Navier-Stokes equations; Liouville-type theorem; Poincar?-type inequality; Iteration method;

D O I：

10.1016/j.aml.2023.108664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Liouville-type theorem of the stationary Navier-Stokes equations on an oscillation growth condition of the potential tensors. Based on the oscillation growth condition, we prove Poincare-type inequalities on different balls, which play a decisive role to get the result. (c) 2023 Elsevier Ltd. All rights reserved.

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页数：6

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