Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl

被引：3
|
作者：
Kozono, Hideo [1 ,2 ]
Terasawa, Yutaka [3 ]
Wakasugi, Yuta [4 ]
机构：
[1] Waseda Univ, Fac Sci & Engn, Dept Math, Tokyo 1698555, Japan
[2] Tohoku Univ, Res Alliance Ctr Math Sci, Sendai, Miyagi 9808578, Japan
[3] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
[4] Hiroshima Univ, Grad Sch Sci & Engn, Higashihiroshima 7398527, Japan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2022年 / 282卷 / 02期
关键词：
Axisymmetric Navier-Stokes equations; No swirl; Asymptotic behavior; Liouville-type theorems; LIOUVILLE-TYPE THEOREMS; SYMMETRIC D-SOLUTIONS; DECAY;
D O I：
10.1016/j.jfa.2021.109289
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic behavior of axisymmetric solutions with no swirl to the steady Navier-Stokes equations in the outside of the cylinder. We prove an a priori decay estimate of the vorticity under the assumption that the velocity has generalized finite Dirichlet integral. As an application, we obtain a Liouville-type theorem. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数：21
相关论文
共 50 条
12345