On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion

DOI10.1016/j.matpur.2018.04.010zbMath1416.35092arXiv1801.10330OpenAlexW2964106451MaRDI QIDQ1732993

Xavier Blanc, Claude Le Bris, Pierre-Louis Lions

Publication date: 26 March 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10330

zbMATH Keywords

homogenizationadvection-diffusion equations

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (5)

A periodic homogenization problem with defects rare at infinity ⋮ Mathematical Approaches for Contemporary Materials Science: Addressing Defects in the Microstructure ⋮ On correctors for linear elliptic homogenization in the presence of local defects ⋮ Goal-oriented error estimation and adaptivity in MsFEM computations ⋮ Riesz transform under perturbations via heat kernel regularity

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