论文标题
在穿孔域中进化不可压缩的Navier-Stokes系统的均质化
Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains
论文作者
论文摘要
在本文中，我们考虑了在三维域中进化不可压缩的Navier-Stokes系统的均匀化问题，这些域被定期定位的大量小孔穿孔。我们首先为弱解决方案建立某些统一的估计。为了克服来自时间衍生物的额外困难，我们使用Temam的想法，并通过在时间变量中整合来考虑方程。在适当地将弱解决方案扩展到整个域之后，我们采用了广义的细胞问题来研究极限过程。
In this paper, we consider the homogenization problems for evolutionary incompressible Navier-Stokes system in three dimensional domains perforated with a large number of small holes which are periodically located. We first establish certain uniform estimates for the weak solutions. To overcome the extra difficulties coming from the time derivative, we use the idea of Temam and consider the equations by integrating in time variable. After suitably extending the weak solutions to the whole domain, we employ the generalized cell problem to study the limit process.
