{
  "abstract": "We consider the Korteweg-de Vries (KdV) approximation for the good Boussinesq equation. Building upon the low-regularity local-in-time justification established by Hong and Yang \\cite{HY2024}, we prove that this approximation remains valid on logarithmically long time intervals. The key ingredient is a persistence of regularity argument, which allows the local approximation to be iterated using the rescaled conservation law for the Boussinesq equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30786",
  "author_total": 2,
  "authors": [
    {
      "name": "Younghun Hong"
    },
    {
      "name": "Junyeong Jang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/35mj08fps9qas.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30786",
  "fulltext_url": null,
  "id": "35mj08fps9qas",
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  "landing_url": "https://arxiv.org/abs/2609.30786",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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      "openalex",
      "2610|Advanced Mathematical Physics Problems"
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  "openalex": "W7214628255",
  "pdf_url": "https://arxiv.org/pdf/2609.30786",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/35mj08fps9qas.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30786",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30786"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Long-time validity of the Korteweg-de Vries approximation for the Boussinesq equation",
  "title_text": "Long-time validity of the Korteweg-de Vries approximation for the Boussinesq equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/35mj08fps9qas",
  "venue": "arXiv",
  "versions": []
}