{
  "id": "2301.08967",
  "version": "v1",
  "published": "2023-01-21T16:11:42.000Z",
  "updated": "2023-01-21T16:11:42.000Z",
  "title": "Infinite-dimensional port-Hamiltonian systems with a stationary interface",
  "authors": [
    "Alexander Kilian",
    "Bernhard Maschke",
    "Andrii Mironchenko",
    "Fabian Wirth"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2301.07344",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated $C_0$-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by an interface consisting of some membrane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-21T16:11:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite-dimensional port-hamiltonian systems",
      "stationary interface",
      "complementary spatial intervals",
      "associated port-hamiltonian operator generates",
      "single port-hamiltonian system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}