{
  "abstract": "We study the three-dimensional (3D) incompressible Euler equation linearized about a smooth compactly supported stationary flow of Gavrilov type. Baldi's volume-preserving action--angle chart allows a reduction of the high-frequency amplitude equation on invariant tori. Using Baldi's chart, we identify a critical torus ensured by the compact cutoff. We show that, for a fixed axisymmetric covector with sufficiently large normal component, the reduced trace-free periodic cocycle on this torus is hyperbolic and has a positive Floquet exponent. A localized geometric-optics construction then lifts this Floquet instability to the linearized Euler equation, yielding exponential essential-norm growth in space $H^s$, $s\\geq 0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30401",
  "author_total": 1,
  "authors": [
    {
      "name": "Mimi Dai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/274yjqgvgx705.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30401",
  "fulltext_url": null,
  "id": "274yjqgvgx705",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30401",
  "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": "W7214598659",
  "pdf_url": "https://arxiv.org/pdf/2609.30401",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/274yjqgvgx705.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30401",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30401"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Floquet instability near a stationary Euler flow in 3D",
  "title_text": "Floquet instability near a stationary Euler flow in 3D",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/274yjqgvgx705",
  "venue": "arXiv",
  "versions": []
}