{
  "abstract": "We consider the Cauchy problem for the two-dimensional compressible micropolar fluid system on the torus $\\mathbb T^2$. The initial density is bounded and nonnegative and may contain vacuum, while the initial velocity and microrotation belong to $H^1(\\mathbb T^2)$. For sufficiently large bulk viscosity $ν$, we prove the global-in-time existence of solutions without a smallness assumption on the $H^1$ size of the data, provided that the initial compressible component is well prepared in the sense that $\\sqrtν\\|\\operatorname{div}u_0\\|_{L^2}$ is uniformly bounded. The proof combines the effective viscous flux with a coupled energy scheme that exploits the vorticity--microrotation dissipation at both the basic and material-derivative levels. For the linear pressure law, we also prove uniqueness in the stated solution class by means of a coupled backward parabolic problem, logarithmic interpolation, and Osgood's lemma. For fixed initial data with $\\operatorname{div}u_0=0$, we also justify the limit $ν\\to\\infty$: every sequence of the corresponding solutions admits a subsequence converging to a solution of the two-dimensional inhomogeneous incompressible micropolar system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37099",
  "author_total": 3,
  "authors": [
    {
      "name": "Zijian Du"
    },
    {
      "name": "Sen Yang"
    },
    {
      "name": "Xinglong You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dje1d67aj4ew7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37099",
  "fulltext_url": null,
  "id": "dje1d67aj4ew7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37099",
  "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",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7224129073",
  "pdf_url": "https://arxiv.org/pdf/2610.37099",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dje1d67aj4ew7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37099",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37099"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Large-bulk-viscosity limit for two-dimensional compressible micropolar fluids with vacuum",
  "title_text": "Large-bulk-viscosity limit for two-dimensional compressible micropolar fluids with vacuum",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/dje1d67aj4ew7",
  "venue": "arXiv",
  "versions": []
}