{
  "id": "0902.4881",
  "version": "v5",
  "published": "2009-02-27T17:57:23.000Z",
  "updated": "2012-03-03T10:28:33.000Z",
  "title": "Controllability and observabiliy of an artificial advection-diffusion problem",
  "authors": [
    "Pierre Cornilleau",
    "Sergio Guerrero"
  ],
  "comment": "20 pages, accepted for publication in MCSS. DOI: 10.1007/s00498-012-0076-0",
  "categories": [
    "math.OC",
    "cs.SY",
    "math.AP"
  ],
  "abstract": "In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-03-03T10:28:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "artificial advection-diffusion problem",
      "controllability",
      "observabiliy",
      "artificial advection-diffusion system",
      "suitable carleman estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4881C"
    }
  }
}