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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