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arXiv · 2004.13471

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

Hideo Kozono·Yutaka Terasawa·Yuta Wakasugi
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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.

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Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. 2020-04-28. Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl. https://doi.org/10.1016/j.jfa.2021.109289

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