Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

We study the asymptotic behavior of solutions to the steady Navier-Stokes equations outside of an infinite cylinder in ${\mathbb{R}}^3$. We assume that the flow is periodic in $x_3$-…