{
  "id": "1304.6139",
  "version": "v1",
  "published": "2013-04-23T00:08:38.000Z",
  "updated": "2013-04-23T00:08:38.000Z",
  "title": "Optimal Control for a Steady State Dead Oil Isotherm Problem",
  "authors": [
    "Moulay Rchid Sidi Ammi",
    "Agnieszka B. Malinowska",
    "Delfim F. M. Torres"
  ],
  "comment": "This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics. Paper submitted 24-Sept-2012; revised 21-March-2013; accepted for publication 17-April-2013. arXiv admin note: text overlap with arXiv:math/0612376",
  "journal": "Control and Cybernetics 42 (2013), no. 2, 459--470",
  "categories": [
    "math.OC",
    "math.AP"
  ],
  "abstract": "We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of mechanics of a continuous medium. Existence and regularity results of the optimal control are proved, as well as necessary optimality conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-23T00:08:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "49K20"
    ],
    "keywords": [
      "steady state dead oil isotherm",
      "optimal control",
      "partial differential equations resulting",
      "steady-state dead oil isotherm problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6139R"
    }
  }
}