Homogenization of eigenvalues for problems with high-contrast inclusions
Xin Fu · arXiv (Cornell University) · 2023
We study quantitative homogenization of the eigenvalues for elliptic systems with periodically distributed inclusions, where the conductivity of inclusions are strongly contrast to that of the matrix. We propose a quantitative version of periodic unfolding method, based on this and the recent results concerned on high-contrast homogenization, the convergence rates of eigenvalues are studied for any contrast $δ\in (0,\infty)$.