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

Autor: Kozono, Hideo, Terasawa, Yutaka, Wakasugi, Yuta
Rok vydání: 2020
Předmět:
Zdroj: J. Funct. Anal. 282 (2022), 109289
Druh dokumentu: Working Paper
DOI: 10.1016/j.jfa.2021.109289
Popis: 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.
Comment: 12 pages
Databáze: arXiv