论文标题

具有滑动边界条件的多孔介质中Stokes类型模型的均质化

Homogenization of the Stokes type model in porous media with slip boundary conditions

论文作者

Signing, Lazarus

论文摘要

这项工作致力于研究多孔介质中Stokes型流体流动的限制行为。这里的边界条件是孔边界上的傅立叶 - 纽曼类型。在介质结构和粘度张量的系数上的周期性假设下,证明了一个收敛结果。我们的方法是众所周知的两尺度收敛方法。

This work is devoted to the study of the limiting behaviour of the Stokes type fluid flows in porous media. The boundary conditions here are of the Fourier-Neumann's type on the boundary of the holes. Under the periodic hypothesis on the structure of the medium and on the coefficients of the viscosity tensor, one convergence result is proved. Our approach is the well known two-scale convergence method.

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