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

被引：4

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

页数：21

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