论文标题
在被薄通道分离的域中反应扩散过程的有效传输条件
Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels
论文作者
论文摘要
我们考虑一个反应 - 扩散方程，该域中由两个大通道通过定期分布在薄层内的小通道连接的域组成。通道的高度和厚度为$ε$，该图层内的方程取决于参数$ε$和[-1,1）$中的附加参数$γ\ in [-1,1）$，它描述了层中扩散的大小。当通道障碍被两个散装域之间的接口所取代时，我们为极限$ε\至0 $得出有效的模型。
We consider a reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order $ε$, and the equation inside the layer depends on the parameter $ε$ and an additional parameter $γ\in [-1,1)$, which describes the size of the diffusion in the layer. We derive effective models for the limit $ε\to 0 $, when the channel-domain is replaced by an interface between the two bulk-domains.
