论文标题

与周期性微观结构的不均匀培养基的扩散

Diffusion in inhomogeneous media with periodic microstructures

论文作者

Amar, Micol, Andreucci, Daniele, Cirillo, Emilio N. M.

论文摘要

Fick和Fokker-Planck扩散方程都可以描述不均匀材料的扩散。在这里,我们研究了混合的给斑和fokker-Planck扩散问题,系数在时空和时间上都迅速振荡。我们通过展开技术获得了执行均质化极限的宏观模型。

Diffusion in inhomogeneous materials can be described by both the Fick and Fokker--Planck diffusion equations. Here, we study a mixed Fick and Fokker-Planck diffusion problem with coefficients rapidly oscillating both in space and time. We obtain macroscopic models performing the homogenization limit by means of the unfolding technique.

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