论文标题
3D轴对称的Navier-Stokes方程的稳定溶液的渐近特性无旋流
Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl
论文作者
论文摘要
我们研究了轴对称溶液的渐近行为，没有旋转圆柱外部的Navier-Stokes方程。我们证明了涡度的先验衰减估计值，即速度具有有限的Dirichlet积分。作为应用程序，我们获得了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.
