{
  "abstract": "The present work proposes a novel Lagrangian dynamical theory for the velocity gradient tensor (VGT) $\\bm{A}\\equiv\\bm{\\nabla}\\bm{u}$, formulated on the basis of its canonical real Schur form.... The proposed theory is expected to be useful for understanding the evolution dynamics of the VGT rotational invariants and intrinsic vorticity modes in a variety of vortical flows.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Transport Phenomena 1(4) (2026) 20260120",
  "arxiv": "2609.14034",
  "author_total": 1,
  "authors": [
    {
      "name": "Tao Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1c1mwh463hf6p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14034",
  "fulltext_url": null,
  "id": "1c1mwh463hf6p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14034",
  "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",
      "physics.flu-dyn"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.14034",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1c1mwh463hf6p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2609.14034",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14034"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Lagrangian Dynamical Theory of the Velocity Gradient Tensor: Real Schur Form, Schur Frame, Characteristic Vorticity Modes, and Commutative Vorticity Operators",
  "title_text": "Lagrangian Dynamical Theory of the Velocity Gradient Tensor: Real Schur Form, Schur Frame, Characteristic Vorticity Modes, and Commutative Vorticity Operators",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/1c1mwh463hf6p",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1515/tp-2026-0120",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}