{
  "abstract": "This work is concerned with the focusing quintic nonlinear Schrödinger equation on a star graph with two edges, with a delta interaction of arbitrary strength at the vertex. We construct a non-radial, minimal mass, finite time blow-up solution, whose singularity forms at an arbitrarily prescribed interior point of one edge. Our approach is based on a suitable cut-off of the standard pseudoconformal blow-up solution of the focusing quintic NLS on the line, inspired by Ogawa-Tsutsumi and Burq-Gérard-Tzvetkov. A noteworthy feature of our construction is the persistence of the domain of the Hamiltonian under the flow, obtained by the persistence of regularity method of Kato. We also identify a two-parameter family of distinct blow-up profiles, which should play a central role in the classification of non-radial minimal mass blow-up solutions on the star graph. Our construction is generic and can be extended to a star graph with an arbitrary number of edges. It can certainly also be adapted to other types of metric graphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13752",
  "author_total": 3,
  "authors": [
    {
      "name": "Mattia Buratti"
    },
    {
      "name": "François Genoud"
    },
    {
      "name": "Vladimir Georgiev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/61hcvz611h9em.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13752",
  "fulltext_url": null,
  "id": "61hcvz611h9em",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13752",
  "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"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7221578061",
  "pdf_url": "https://arxiv.org/pdf/2610.13752",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/61hcvz611h9em.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13752",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13752"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Asymmetric minimal mass blow-up for the quintic NLS on a star graph",
  "title_text": "Asymmetric minimal mass blow-up for the quintic NLS on a star graph",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/61hcvz611h9em",
  "venue": "arXiv",
  "versions": []
}