@article{da7a55bb625c4dec90178876cac1db58,
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",
month = jan,
day = "15",
doi = "10.1016/j.jfa.2021.109289",
language = "English",
volume = "282",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",
}