{
  "abstract": "In this article, we consider 2D micropolar fluid equations with a nonlinear damping term \\(\\sigma|u|^{\\beta-1}u\\) with \\(1 \\leq \\beta < 7/3\\). We establish the existence and uniqueness of weak solutions. Based on the method of \\(\\ell \\)-trajectory proposed by Malek and Prazak, we analyze the long-time behavior of the system in the trajectory space \\(X_\\ell\\), deduce the existence of the global attractor of the semigroup in the initial phase space \\(H\\times L^2(\\Omega)\\), and establish that this global attractor has finite fractal dimension.",
  "abstract_shown": true,
  "affiliations": [
    "Xi'an Univ. of Science and Technology, Xi'an, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Xueli Song"
    },
    {
      "affs": [
        0
      ],
      "name": "Xinyu Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cayx8fjhgc5fc.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": "http://ejde.math.txstate.edu/Volumes/2026/70/abstr.html",
  "id": "cayx8fjhgc5fc",
  "issns": [
    "1072-6691"
  ],
  "landing_url": "http://ejde.math.txstate.edu/Volumes/2026/70/abstr.html",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ]
  ],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": "Texas State University",
  "ris": "https://research.draconitic.com/paper/cayx8fjhgc5fc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:06Z",
      "native_id": "5d0c481b2b0c4275a724c137fecb8381",
      "source": "doaj",
      "url": "http://ejde.math.txstate.edu/Volumes/2026/70/abstr.html"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "Dynamics of weak solutions for two-dimensional micropolar equations with nonlinear damping",
  "title_text": "Dynamics of weak solutions for two-dimensional micropolar equations with nonlinear damping",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:06Z",
  "url": "https://research.draconitic.com/paper/cayx8fjhgc5fc",
  "venue": "Electronic Journal of Differential Equations",
  "versions": []
}