非周期柱状结构高对比度非对称电导率的均匀化
偏微分方程分析
2013-07-02 v2
摘要
本文在三维空间中确定了非周期高对比度两相圆柱复合材料在恒定磁场中的有效电导率，且未对其横截面几何形状做任何假设。我们的方法遵循Murat-Tartar的H-收敛精神，基于紧致性结果和微结构的圆柱性质。所得的均匀化定律将周期纤维增强情况（M. Briane and L. Pater. Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three. J. Math. Anal. Appl., 393 (2) (2012), 563-589）推广到具有更一般横向几何的周期和非周期复合材料。
引用
@article{arxiv.1302.7222,
title = {Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures},
author = {Mohamed Camar-Eddine and Laurent Pater},
journal= {arXiv preprint arXiv:1302.7222},
year = {2013}
}
备注
28 pages