Alternative approaches to the two-scale convergence.

DOI10.1023/B:APOM.0000027218.04167.9bzbMath1099.35012OpenAlexW2014320231MaRDI QIDQ851611

Luděk Nechvátal

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33177

zbMATH Keywords

weak convergencehomogenizationtwo-scale convergence

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (6)

Cell Averaging Two-Scale Convergence: Applications to Periodic Homogenization ⋮ On two-scale convergence and related sequential compactness topics. ⋮ On general two-scale convergence and its application to the characterization of \(G\)-limits. ⋮ A two-scale model for the periodic homogenization of the wave equation ⋮ Some remarks on two-scale convergence and periodic unfolding. ⋮ Homogenization of linear parabolic equations with a certain resonant matching between rapid spatial and temporal oscillations in periodically perforated domains

Cites Work

• Homogenization of parabolic equations---an alternative approach and some corrector-type results
• Periodic unfolding and homogenization
• Homogenization of Thin Structures by Two-Scale Method with Respect to Measures
• An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On compactness results for multi-scale convergence
• Homogénéisation d'un circuit électrique
• Homogenization of von Kármán Plates Excited by Piezoelectric Patches
• Two-scale convergence for nonlinear Dirichlet problems in perforated domains
• On an extension of the method of two-scale convergence and its applications
• Multiscale convergence and reiterated homogenisation
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