{
  "id": "2407.19515",
  "version": "v1",
  "published": "2024-07-28T15:51:26.000Z",
  "updated": "2024-07-28T15:51:26.000Z",
  "title": "Null controllability of an ODE-heat system with coupled boundary and internal terms",
  "authors": [
    "Idriss Boutaayamou",
    "Fouad Et-tahri",
    "Lahcen Maniar"
  ],
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with distributed control using Carleman estimates. Then, we conclude by the strategy of space domain extension. Finally, we illustrate the analysis with some numerical experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-28T15:51:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "null controllability",
      "internal terms",
      "coupled boundary",
      "space domain extension",
      "neumann boundary control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}