{
  "abstract": "We prove the propagation of Bose--Einstein condensation and a norm approximation for the dynamics of a Bose gas with localized initial data in two dimensions with singular interactions that may have a small attractive part. We allow the scaling of the interaction to be any polynomial scaling $N^β$ for $0<β<\\infty$ and even exponential scaling $e^{N^κ}$ for $0<κ<1/4$. Our approach covers external potentials that are time-dependent, at most quadratic, and bounded below, including the situation without an external potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33212",
  "author_total": 1,
  "authors": [
    {
      "name": "Lukas Reichmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/77xtghv3rx0bd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33212",
  "fulltext_url": null,
  "id": "77xtghv3rx0bd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33212",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7223998681",
  "pdf_url": "https://arxiv.org/pdf/2610.33212",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/77xtghv3rx0bd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33212",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33212"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Dynamics of two-dimensional Bose gases in the focusing case",
  "title_text": "Dynamics of two-dimensional Bose gases in the focusing case",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/77xtghv3rx0bd",
  "venue": "arXiv",
  "versions": []
}