{
  "abstract": "This paper investigates the stability of strong global and exponential attractors for a semilinear beam equation with memory and fractional damping, where $α\\in[0,2]$ denotes the fractional damping exponent and $β\\in[0,1]$ the memory parameter. After showing the existence of a strong global attractor, we prove its upper semicontinuity in the parameter pair $(α,β)$. We then construct a family of strong exponential attractors and establish its continuity in $(α,β)$. Here, ``strong\" means that the compactness, attraction, and parameter-robustness properties are established in a topology stronger than that of the phase space. Compared to existing $β= 0$ results, our findings hold in a stronger topology. The analysis draws upon our recent higher-order regularity results for global attractors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23002",
  "author_total": 2,
  "authors": [
    {
      "name": "Yu-Ying Duan"
    },
    {
      "name": "Ti-Jun Xiao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9x8ah3zjnyw7n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23002",
  "fulltext_url": null,
  "id": "9x8ah3zjnyw7n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23002",
  "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",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7214039365",
  "pdf_url": "https://arxiv.org/pdf/2609.23002",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9x8ah3zjnyw7n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23002",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23002"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Stability of strong global and exponential attractors for semilinear beam equations with fractional damping and memory",
  "title_text": "Stability of strong global and exponential attractors for semilinear beam equations with fractional damping and memory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/9x8ah3zjnyw7n",
  "venue": "arXiv",
  "versions": []
}