Work

Homogenization at a polynomial scale in high contrast

Year: 2026

Type: preprint

Abstract: We prove an upper bound on the homogenization length scale which is a fixed power of the coarse ellipticity ratio for coefficient fields that satisfy a finite range of dependence assumption.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.27647

Authors: Armstrong, Scott, Kuusi, Tuomo, Loher, Amélie

Institutions: Centre National de la Recherche Scientifique, Courant Institute of Mathematical Sciences, Sorbonne Université, Laboratoire Jacques-Louis Lions, New York University, University of Helsinki, University of Oxford

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Fondation Sciences Mathématiques de Paris, HORIZON EUROPE Framework Programme

OpenAlex ID: W7214187766

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