Existence of the stationary Navier-Stokes flow in R2 around a radial flow

被引：4

作者：

Maekawa, Yasunori ^{[1
]}

Tsurumi, Hiroyuki ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 350卷

关键词：

EQUATIONS; STABILITY;

D O I：

10.1016/j.jde.2022.12.043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the stationary Navier-Stokes equations on the whole plane R2. We show that for a given small and smooth external force around a radial flow, there exists a classical solution decaying like |x|-1. In our result, it is not necessary to impose any symmetric conditions on external forces. (c) 2023 Elsevier Inc. All rights reserved.

引用

页码：202 / 227

页数：26

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