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arxiv: 1406.1752 · v1 · pith:OX4A7TU2new · submitted 2014-06-06 · 🧮 math.FA

Discrete double-porosity models

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keywords conditionsconvergencecorrespondingdefineddescribediscretediscrete-to-continuousdouble
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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.

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