{
  "id": "2212.08849",
  "version": "v1",
  "published": "2022-12-17T11:13:22.000Z",
  "updated": "2022-12-17T11:13:22.000Z",
  "title": "A note on exponential stability of a thermoelastic system with internal delay",
  "authors": [
    "Smain Moulay Khatir",
    "Farhat Shel"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. In this note we point on the exponential stability of such system in order to improve the mean result in our paper Well-posedness and exponential stability of a thermoelastic system with internal delay (Applicable Analysis J 101, 4851-4865, 2022). We use a frequency domain method in the proof of stability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-17T11:13:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential stability",
      "internal delay",
      "frequency domain method",
      "thermoelastic system destroys",
      "heat conduction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}