Homogenization of Stationary Navier–Stokes Equations in Domains with Tiny Holes
Homogenization of Stationary Navier–Stokes Equations in Domains with Tiny Holes
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DOI：
10.1007/s00021-015-0200-2
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发表时间：
2015-03
影响因子：
1.3
通讯作者：
E. Feireisl;Yong Lu
中科院分区：
文献类型：
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作者：
E. Feireisl;Yong Lu
我们考虑描述有界三维域中可压缩牛顿流体稳定流动的稳态可压缩纳维-斯托克斯方程的均质化问题。我们关注的是域上有非常小的孔的情况，这些孔的直径远小于它们的相互距离。我们证明均质化过程不会改变流体的运动：在渐近极限下，我们再次获得相同的方程组。这与稳态斯托克斯和稳态不可压缩纳维-斯托克斯系统的类似结果一致。
We consider the homogenization problem for the stationary compressible Navier–Stokes equations describing a steady flow of a compressible Newtonian fluid in a bounded three dimensional domain. We focus on the case where the domain is perforated with very tiny holes for which the diameters are much smaller than their mutual distances. We show that the homogenization process does not change the motion of the fluids: in the asymptotic limit, we obtain again the same system of equations. This coincides with similar results for the stationary Stokes and stationaryincompressibleNavier–Stokes system.