{
  "id": "2012.12251",
  "version": "v1",
  "published": "2020-12-22T18:48:32.000Z",
  "updated": "2020-12-22T18:48:32.000Z",
  "title": "Well-posedness and exponential stability of a thermoelastic system with internal delay",
  "authors": [
    "Smain Monlay Khatir",
    "Farhat Shel"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction [17]. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. At first, we prove the well-posedness of the system by the semigroup theory. Next, under appropriate assumptions, we prove the exponential stability of the system by introducing a suitable Lyapunov functional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-22T18:48:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential stability",
      "internal delay",
      "well-posedness",
      "thermoelastic system destroys",
      "semigroup theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}