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

Autor:	Kozono, Hideo, Terasawa, Yutaka, Wakasugi, Yuta
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 35Q30 35B53 76D05
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jde.2023.05.025
Popis:	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 $x_3$-direction and has no swirl. This problem is closely related with two-dimensional exterior problem. Under a condition on the generalized finite Dirichlet integral, we give a pointwise decay estimate of the vorticity at the spatial infinity. Moreover, we prove a Liouville-type theorem only from the condition of the generalized finite Dirichlet integral. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.03850 Zobrazit plný text záznamu View this record from Arxiv