Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
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DOI：
10.1016/j.jfa.2021.109289
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发表时间：
2020-04
影响因子：
1.7
通讯作者：
H. Kozono;Yutaka Terasawa;Yuta Wakasugi
中科院分区：
文献类型：
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作者：
H. Kozono;Yutaka Terasawa;Yuta Wakasugi
研究了圆柱体外定常N-S方程轴对称解的渐近行为。在速度为广义有限Dirichlet积分的假设下，我们证明了涡量的先验衰减估计。作为应用，我们得到了一个Liouville-型定理。
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.