{
  "id": "2302.03344",
  "version": "v1",
  "published": "2023-02-07T09:38:28.000Z",
  "updated": "2023-02-07T09:38:28.000Z",
  "title": "A case study of port-Hamiltonian systems with a moving interface",
  "authors": [
    "Alexander Kilian",
    "Bernhard Maschke",
    "Andrii Mironchenko",
    "Fabian Wirth"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2301.07344, arXiv:2301.08967",
  "categories": [
    "math.AP",
    "math.DS",
    "math.FA",
    "math.OC"
  ],
  "abstract": "We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system. We provide sufficient conditions that guarantee that this system is Kato-stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-07T09:38:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moving interface",
      "case study",
      "complementary spatial intervals",
      "single non-autonomous port-hamiltonian system",
      "conservation laws"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}