论文标题
全球强大解决方案，用于圆柱体外部不可压缩的Navier-Stokes系统
Global strong solutions to the inhomogeneous incompressible Navier-Stokes system in the exterior of a cylinder
论文作者
论文摘要
在本文中，不均匀不可压缩的Navier-Stokes系统的全球强轴对称解在受迪里奇特边界条件的外部的外部建立。此外，在这些解决方案中允许真空。分析的关键要素之一是获得$ {l^{2}（s，t; l^{\ infty}（ω））} $绑定的速度场，其中解决方案的轴对称性起着重要作用。
In this paper, the global strong axisymmetric solutions for the inhomogeneous incompressible Navier-Stokes system are established in the exterior of a cylinder subject to the Dirichlet boundary conditions. Moreover, the vacuum is allowed in these solutions. One of the key ingredients of the analysis is to obtain the ${L^{2}(s,T;L^{\infty}(Ω))}$ bound for the velocity field, where the axisymmetry of the solutions plays an important role.
