Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
Autor: | Kozono, Hideo, Terasawa, Yutaka, Wakasugi, Yuta |
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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 |
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