{
  "id": "1205.0780",
  "version": "v1",
  "published": "2012-05-03T18:05:29.000Z",
  "updated": "2012-05-03T18:05:29.000Z",
  "title": "Time-Periodic Solutions of the Burgers Equation",
  "authors": [
    "Magnus Fontes",
    "Olivier Verdier"
  ],
  "journal": "Journal of Mathematical Fluid Mechanics, 11 (2) 2009, pp 303-323",
  "doi": "10.1007/s00021-007-0260-z",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the time periodic solutions to the viscous Burgers equation $u_t -\\mu u_{xx} + uu_x = f$ for irregular forcing terms. We prove that the corresponding Burgers operator is a diffeomorphism between appropriate function spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-03T18:05:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B10",
      "35B45"
    ],
    "keywords": [
      "time-periodic solutions",
      "time periodic solutions",
      "appropriate function spaces",
      "irregular forcing terms",
      "viscous burgers equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Mathematical Fluid Mechanics",
      "year": 2009,
      "month": "Jun",
      "volume": 11,
      "number": 2,
      "pages": 303
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMFM...11..303F"
    }
  }
}