Discrete double-porosity models
  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. 
Andrea Braides, Valeria Chiado Piat and Andrey Piatnitski
math.FA