Discrete double-porosity models
Andrea Braides, Valeria Chiadò Piat, Andrey Lvovich Piatnitski · arXiv (Cornell University) · 2014
We study a discrete-to-continuous Gamma-limit of a family of high-contrast double porosity type functionals defined on a scaled integer lattice. Under periodicity and p-growth conditions we prove the homogenization result and describe the structure of the limit functional. Also, we study the convergence of the corresponding gradient flow.