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

Hideo Kozono; Yutaka Terasawa; Yuta Wakasugi

doi:10.1016/j.jfa.2021.109289

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

Hideo Kozono^*, Yutaka Terasawa, Yuta Wakasugi

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	109289
Journal	Journal of Functional Analysis
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2021.109289
Publication status	Published - 2022 Jan 15

Keywords

Asymptotic behavior
Axisymmetric Navier-Stokes equations
Liouville-type theorems
No swirl

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2021.109289

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

abstract = "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.",

keywords = "Asymptotic behavior, Axisymmetric Navier-Stokes equations, Liouville-type theorems, No swirl",

author = "Hideo Kozono and Yutaka Terasawa and Yuta Wakasugi",

note = "Funding Information: This work is supported by JSPS Grant-in-Aid for Scientific Research (A) 21H04433 . Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

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AU - Kozono, Hideo

AU - Terasawa, Yutaka

AU - Wakasugi, Yuta

PY - 2022/1/15

Y1 - 2022/1/15

N2 - 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.

AB - 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.

KW - Asymptotic behavior

KW - Axisymmetric Navier-Stokes equations

KW - Liouville-type theorems

KW - No swirl

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M1 - 109289

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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