On the global well-posedness of 3-D axi-symmetric Navier–Stokes system with small swirl component
On the global well-posedness of 3-D axi-symmetric Navier–Stokes system with small swirl component
复制标题
具有小旋涡分量的三维轴对称纳维-斯托克斯系统的全局适定性
DOI：
10.1007/s00526-017-1288-4
复制
发表时间：
2017
影响因子：
2.1
通讯作者：
Ping Zhang
中科院分区：
文献类型：
--
作者：
Yanlin Liu;Ping Zhang
本文证明了临界Lebesgue空间中三维轴对称Navier-Stokes方程组的局部适定性。我们还得到了小的初始数据的整体适定性结果。此外，在几乎临界空间中，当速度的初始涡旋分量足够小时，我们仍然可以证明系统的整体适定性。
In this paper, we prove the local well-posedness of 3-D axi-symmetric Navier–Stokes system with initial data in the critical Lebesgue spaces. We also obtain the global well-posedness result with small initial data. Furthermore, with the initial swirl component of the velocity being sufficiently small in the almost critical spaces, we can still prove the global well-posedness of the system.