{
  "abstract": "We consider a generalized Oseen evolution operator arising from time-dependent rigid motions in 3D exterior domains. Hishida and the present author established the regularity theory of the evolution operator by use of the $L^q$-$L^r$ smoothing estimates with a weight function $(1+|x|)^α$. The objective of this paper is to develop the weighted $L^q$-$L^r$ estimates globally in time. These estimates are applied to the study of the large time behavior of the Navier-Stokes flow around a time-periodic solution in weighted spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00649",
  "author_total": 1,
  "authors": [
    {
      "name": "Yosuke Asami"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2xr8wy0r3a1h9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00649",
  "fulltext_url": null,
  "id": "2xr8wy0r3a1h9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00649",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00649",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2xr8wy0r3a1h9.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00649",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00649"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Weighted $L^q$-$L^r$ estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body",
  "title_text": "Weighted L^q-L^r estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/2xr8wy0r3a1h9",
  "venue": "arXiv",
  "versions": []
}