论文标题
同质化和奇异扰动的结合效果：Bloch波接近
Combined Effects of Homogenization and Singular Perturbations : A Bloch Wave Approach
论文作者
论文摘要
我们研究了具有第四阶奇异扰动的定期异质介质的Bloch波均匀化。根据奇异扰动的相对强度和周期性异质性的长度尺度，我们恢复了不同的均质化制度。均质化张量是根据第一个Bloch特征值获得的。较高的BLOCH模式不构成均质化极限。
We study Bloch wave homogenization of periodically heterogeneous media with fourth order singular perturbations. We recover different homogenization regimes depending on the relative strength of the singular perturbation and length scale of the periodic heterogeneity. The homogenized tensor is obtained in terms of the first Bloch eigenvalue. The higher Bloch modes do not contribute to the homogenization limit.
