{
  "abstract": "These notes summarize the content of a one-week course given by Luis Vega on the binormal flow model applied to describe the dynamics of three-dimensional vortex filaments in incompressible fluids following the Euler equations. This topic touches connections between the binormal flow, the Schrödinger map and the 1d cubic nonlinear Schrödinger equation, providing a rich casuistry linked to the physical and numerical phenomenology. This course was part of the $2^{\\text{nd}}$ Advanced Summer School held at the Institut d'Etudes Scientifiques de Cargèse (IESC), at Cargèse (Corsica), from $20^{\\text{th}}$ to $30^{\\text{th}}$ June 2023. These notes have been written and completed by two of its attendees, Elena Danesi and Pablo Merino.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13457",
  "author_total": 3,
  "authors": [
    {
      "name": "Elena Danesi"
    },
    {
      "name": "Pablo Merino"
    },
    {
      "name": "Luis Vega"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/chcpapej24abd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13457",
  "fulltext_url": null,
  "id": "chcpapej24abd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13457",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7221550392",
  "pdf_url": "https://arxiv.org/pdf/2610.13457",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/chcpapej24abd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13457",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13457"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "The binormal flow: a toy model for turbulence",
  "title_text": "The binormal flow: a toy model for turbulence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/chcpapej24abd",
  "venue": "arXiv",
  "versions": []
}