{
  "id": "1808.09294",
  "version": "v1",
  "published": "2018-08-26T16:52:38.000Z",
  "updated": "2018-08-26T16:52:38.000Z",
  "title": "A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem",
  "authors": [
    "Francisco Guillén-González",
    "Exequiel Mallea-Zepeda",
    "María Ángeles Rodríguez-Bellido"
  ],
  "comment": "41 pages. arXiv admin note: text overlap with arXiv:1806.10076",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish a regularity criterion to get global in time strong solutions. As a consequence, we deduce the existence of a global optimal solution with bilinear control and, using a Lagrange multipliers theorem, we derive first-order optimality conditions for local optimal solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-26T16:52:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K51",
      "35Q92",
      "49J20",
      "49K20"
    ],
    "keywords": [
      "bilinear optimal control problem",
      "3d chemo-repulsion system",
      "regularity criterion",
      "application",
      "3d chemo-repulsion model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}