G-convergence of Friedrichs systems revisited

Autor: Burazin, K., Erceg, M., Waurick, M.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 18 pages. Minor changes compared to the previous version. To appear in Mathematical Methods in the Applied Sciences
Databáze: arXiv