The Two-Scale Periodic Unfolding Technique

DOI10.1007/978-3-030-25261-8_7zbMath1446.74189OpenAlexW2971508136MaRDI QIDQ5115105

Anna V. Zubkova

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_7

zbMATH Keywords

microstructurehomogenizationtwo-phase mediumPoisson-Nernst-Planck system

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Homogenization in equilibrium problems of solid mechanics (74Q05) Analysis of microstructure in solids (74N15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion
• Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium
• Homogenization of Reaction--Diffusion Processes in a Two-Component Porous Medium with Nonlinear Flux Conditions at the Interface
• The Periodic Unfolding Method in Domains with Holes
• Modification of unfolding approach to two-scale convergence

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