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

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number109289
JournalJournal of Functional Analysis
Volume282
Issue number2
DOIs
Publication statusPublished - 2022 Jan 15

Keywords

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

ASJC Scopus subject areas

  • Analysis

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