Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
arXiv:2004.13471 · doi:10.1016/j.jfa.2021.109289
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.
12 pages
References in corpus (4)
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