{
  "titles": [
    {
      "title": "Global evolution of random vortex filament equation"
    }
  ],
  "creators": [
    {
      "name": "Brzeźniak, Z.",
      "nameType": "Personal",
      "familyName": "Brzeźniak",
      "givenName": "Z."
    },
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    },
    {
      "name": "Neklyudov, M.",
      "nameType": "Personal",
      "familyName": "Neklyudov",
      "givenName": "M."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2010,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "5",
  "url": "https://arxiv.org/abs/1008.1086v5",
  "dates": [
    {
      "date": "2010-08-05",
      "dateType": "Issued"
    },
    {
      "date": "2013-07-04",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math-ph",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.AP",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.MP",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
    }
  ],
  "descriptions": [
    {
      "description": "We prove the existence of a global solution for the filament equation with inital condition given by a geometric rough path in the sense of Lyons (1998).Our work gives a positive answer to a question left open in recent publications: Berselli and Gubinelli (2007) showed the existence of global solution for a smooth initial condition while Bessaih, Gubinelli, Russo (2005) proved the existence of a local solution for a general initial condition given by a rough path.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:1008.1086v5",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.1008.1086",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}