{
  "id": "2307.01552",
  "version": "v1",
  "published": "2023-07-04T08:08:41.000Z",
  "updated": "2023-07-04T08:08:41.000Z",
  "title": "G-convergence of Friedrichs systems revisited",
  "authors": [
    "K. Burazin",
    "M. Erceg",
    "M. Waurick"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-04T08:08:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "35F45",
      "35M32",
      "47F05"
    ],
    "keywords": [
      "friedrichs systems",
      "g-convergence",
      "revisit homogenisation theory",
      "yield memory effects",
      "severely weaker assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}