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

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

研究成果: Article査読

抄録

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.

本文言語English
論文番号109289
ジャーナルJournal of Functional Analysis
282
2
DOI
出版ステータスPublished - 2022 1 15

ASJC Scopus subject areas

  • 分析

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