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arXiv · 2307.01552

G-convergence of Friedrichs systems revisited

K. Burazin·M. Erceg·M. Waurick
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Abstract

We revisit homogenisation theory for Friedrichs systems. In particular, we show that $G$-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 $G$-compactness results for Friedrichs systems to equations that yield memory effects in the homogenised limit and detour any usage of compactness techniques previously employed.

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K. Burazin, M. Erceg, M. Waurick. 2023-07-04. G-convergence of Friedrichs systems revisited. https://arxiv.org/abs/2307.01552

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