{
  "id": "1206.5209",
  "version": "v2",
  "published": "2012-06-22T17:17:14.000Z",
  "updated": "2013-01-24T12:50:18.000Z",
  "title": "On the cost of null-control of an artificial advection-diffusion problem",
  "authors": [
    "Pierre Cornilleau",
    "Sergio Guerrero"
  ],
  "comment": "16 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we study the null-controllability of an artificial advection-diffusion system in dimension $n$. Using a spectral method, we prove that the control cost goes to zero exponentially when the viscosity vanishes and the control time is large enough. On the other hand, we prove that the control cost tends to infinity exponentially when the viscosity vanishes and the control time is small enough.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-24T12:50:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "artificial advection-diffusion problem",
      "control time",
      "viscosity vanishes",
      "null-control",
      "artificial advection-diffusion system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.5209C"
    }
  }
}