A note on parabolic homogenization with a mismatch between the spatial scales

DOI10.1155/2013/329704zbMath1293.35027OpenAlexW2164603665WikidataQ58915967 ScholiaQ58915967MaRDI QIDQ2015374

Jens Persson, Marianne Olsson Lindberg, Anders Holmbom, Liselott Flodén

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/329704

zbMATH Keywords

linear parabolic problem

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic equations (35K10)

Related Items

Diffusion in inhomogeneous media with periodic microstructures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strange term in the homogenization of parabolic equations with two spatial and two temporal scales
• Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence
• \(\Sigma\)-convergence and reiterated homogenization of nonlinear parabolic operators
• \(\Sigma\) -convergence of nonlinear parabolic operators
• Homogenization of some parabolic operators with several time scales.
• \(G\)-convergence of mixed type evolution operators
• Very weak multiscale convergence
• A parabolic equation with rapidly oscillating coefficients
• Homogenization of parabolic equations---an alternative approach and some corrector-type results
• Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales
• Periodic homogenization of strongly nonlinear reaction–diffusion equations with large reaction terms
• Homogenization in a Periodic and Time-Dependent Potential
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Multiscale convergence and reiterated homogenisation