{
  "id": "math/0404237",
  "version": "v1",
  "published": "2004-04-12T23:41:28.000Z",
  "updated": "2004-04-12T23:41:28.000Z",
  "title": "Optimal Control of Newton-Type Problems of Minimal Resistance",
  "authors": [
    "Delfim F. M. Torres",
    "Alexander Yu. Plakhov"
  ],
  "comment": "Accepted for publication in the Rendiconti del Seminario Matematico dell'Universita e del Politecnico di Torino",
  "journal": "Rend. Sem. Mat. Univ. Pol. Torino, Vol. 64 (2006) No.1, pp. 79--96",
  "categories": [
    "math.OC",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition. Solutions are then computed for concrete situations, including the new case when the flux of particles is non-parallel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-12T23:41:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K05",
      "70F35"
    ],
    "keywords": [
      "minimal resistance",
      "pontryagin maximum principle",
      "address newton-type problems",
      "sufficient condition",
      "concrete situations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4237T"
    }
  }
}