G‐Convergence of Friedrichs Systems Revisited

ABSTRACT We revisit the homogenization theory for Friedrichs systems. In particular, we show that ‐compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of ‐compactness results for Friedrichs systems to equations that yield memory effects in the homogenized limit and detour any usage of compactness techniques previously employed. MSC2020 Classification: 35B27, 35F45, 35M32, 47F05

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-01-22
DOI
https://doi.org/10.1002/mma.10656
Citations
2
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
3.01

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article

G‐Convergence of Friedrichs Systems Revisited

Marko Erceg, Marcus Waurick, Krešimir Burazin
2 citations
Mathematical Methods in the Applied Sciences
Advanced Mathematical Modeling in Engineering
3.01
article

G‐Convergence of Friedrichs Systems Revisited

Marko Erceg, Marcus Waurick, Krešimir Burazin
article en
2 citations

Abstract

ABSTRACT We revisit the homogenization theory for Friedrichs systems. In particular, we show that ‐compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of ‐compactness results for Friedrichs systems to equations that yield memory effects in the homogenized limit and detour any usage of compactness techniques previously employed. MSC2020 Classification: 35B27, 35F45, 35M32, 47F05

Mathematical Methods in the Applied SciencesVol. 48(5)
University of Zagreb (HR), University of Osijek (HR), TU Bergakademie Freiberg (DE)
Hrvatska Zaklada za Znanost
Openalex Percentile: Top 10%
Advanced Mathematical Modeling in Engineering
3.01
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