On cylindrical symmetric flows through pipe-like domains
On cylindrical symmetric flows through pipe-like domains
复制标题
关于通过类管域的圆柱对称流
DOI：
10.1016/j.jde.2004.03.007
复制
发表时间：
2004
影响因子：
2.4
通讯作者：
P. Mucha
中科院分区：
文献类型：
--
作者：
P. Mucha
我们证明了 R3 中具有滑移边界条件的有界管状域中稳态 Navier-Stokes 方程的柱对称解的存在性。显示跨边界的任何大流量的结果，假设仅对与数据无关的域形状进行几何约束。不需要域的简单连通性。该技术基于对原始问题的重新表述，为我们提供了此类解决方案在霍尔德空间中的新型估计。
We prove existence of cylindrical symmetric solutions to the steady Navier–Stokes equations in bounded pipe-like domains in R3with the slip boundary conditions. The result is shown for any large flows across the boundary assuming only a geometrical constraint on the shape of the domain which is independent of data. The simply connectedness of the domain is not required. The technique is based on a reformulation of the original problem and delivers us a new type of estimates in the Hölder spaces for this class of the solutions.