Multiphase double-porosity homogenization for perimeter functionals

DOI10.1002/mma.1600zbMath1237.35154OpenAlexW2048929300MaRDI QIDQ2882440

Margherita Solci

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1600

zbMATH Keywords

homogenizationmultiphase materialsdouble-porositysurface energies

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Homogenization of Discrete High-Contrast Energies ⋮ Variational asymptotic homogenization of beam-like square lattice structures

Cites Work

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• Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence
• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Density theorems for local minimizers of area-type functionals
• Double-porosity homogenization for perimeter functionals
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Homogenization by blow-up
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
• HOMOGENIZATION OF ENERGIES DEFINED ON PAIRS SET-FUNCTION

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