论文标题
涉及拉普拉斯 - 贝特拉米操作员的异质培养基中电传导的浓度和均匀化
Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator
论文作者
论文摘要
我们研究了复合材料中电气传导建模的浓度和均质化问题。该问题的新颖性是由于表征了复合材料的介电成分的物理量的特定尺度。这导致出现由拉普拉斯 - 贝特拉米伪 - 羟基方程的特殊位移电流的出现。这种伪羟基特性也存在于同质方程式中，该方程是通过展开技术获得的。
We study a concentration and homogenization problem modelling electrical conduction in a composite material. The novelty of the problem is due to the specific scaling of the physical quantities characterizing the dielectric component of the composite. This leads to the appearance of a peculiar displacement current governed by a Laplace-Beltrami pseudo-parabolic equation. This pseudo-parabolic character is present also in the homogenized equation, which is obtained by the unfolding technique.
