Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients

DOI10.1080/00036811.2018.1441994zbMath1418.35027arXiv1309.4579OpenAlexW2963013964MaRDI QIDQ4628933

Valery P. Smyshlyaev, Ilia V. Kamotski

Publication date: 25 March 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4579

zbMATH Keywords

convergence of semigroupstwo-scale convergenceresolvent convergencehigh-contrast homogenizationoperator convergencehomogenization of high-contrast evolution problems

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Mathematical analysis of transmission properties of electromagnetic meta-materials ⋮ Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I ⋮ Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior ⋮ Homogenization of diffusion in high contrast random media and related Markov semigroups ⋮ Characterization of hybrid piezoelectric nanogenerators through asymptotic homogenization ⋮ Spectral and evolution analysis of composite elastic plates with high contrast

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