Homogenization results for ionic transport in periodic porous media
Homogenization results for ionic transport in periodic porous media
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周期性多孔介质中离子传输的均化结果
DOI：
10.1016/j.camwa.2014.03.009
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
C. Timofte
中科院分区：
文献类型：
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作者：
C. Timofte
严格分析了带电周期性多孔介质中离子输运现象建模中产生的非线性耦合偏微分方程组的解的有效行为。我们的模型可帮助生物物理学家描述通过蛋白质通道的离子传输。此外，该设置被证明与半导体器件中电子和空穴流动的建模相关。获得宏观模型的主要工具是使用周期性展开方法，这使我们能够处理一大类异构媒体。
The effective behavior of the solution of a nonlinear system of coupled partial differential equations arising in the modeling of ionic transport phenomena in electrically charged periodic porous media is rigorously analyzed. Our model can be useful for biophysicists to describe the ionic transport through protein channels. Also, this setting proves to be relevant in the modeling of the flow of electrons and holes in semiconductor devices. The main tool for obtaining our macroscopic model is the use of the periodic unfolding method, which enables us to deal with a large class of heterogeneous media.