Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space
Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space
复制标题
半空间中斯托克斯系统的绿色张量和稳态纳维-斯托克斯流的渐近
DOI：
10.1016/j.aim.2017.10.031
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发表时间：
2018
影响因子：
1.7
通讯作者：
Tsai Tai-Peng
中科院分区：
文献类型：
--
作者：
Kang Kyungkeun;Miura Hideyuki;Tsai Tai-Peng
我们得到了半空间中定常Stokes系统的绿色张量的精确估计。然后，我们调查的空间渐近的不可压缩Navier-Stokes方程的定常解的半空间。我们还讨论了快衰减流在整个空间和外部区域的渐近性。在附录中，我们考虑轴对称自相似解。
We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.