{
  "abstract": "We study the 3-D incompressible inviscid Oldroyd-B model with fractional stress diffusion \\((-Δ)^βτ\\) and without stress damping. For $β\\in (\\frac{1}{2},1)$ and $s\\in [2β+\\frac{1}{2},\\frac{5}{2}]$, we establish local well-posedness for initial data $(u_0,τ_0)$ in \\(H^s(\\mathbb R^3)\\), provided that \\(\\|(u_0,τ_0)\\|_{H^β}\\) is bounded and \\(\\|Λ^β(u_0,τ_0)\\|_{H^{s-β}}\\) is sufficiently small. If, in addition, $β\\in(\\frac{1}{2},\\frac{5}{6}]$, we give a global well-posedness result. Our results complement the work of Constantin, Wu, Zhao and Zhu \\cite{ConstantinWuZhaoZhu2021} by treating the Sobolev regularity $s\\in[2β+\\frac12,\\frac{5}{2}]$, below the threshold $s>\\frac52$ considered there. We also provide an $\\ell^2$ alternative to the high-frequency $\\ell^1$ summability condition in the framework of Wu and Zhao \\cite{WuZhao2022}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21473",
  "author_total": 3,
  "authors": [
    {
      "name": "Yi Lu"
    },
    {
      "name": "Chen Liang"
    },
    {
      "name": "Zhaoyang Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9d18mh2bz3tp0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21473",
  "fulltext_url": null,
  "id": "9d18mh2bz3tp0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21473",
  "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": "W7222548201",
  "pdf_url": "https://arxiv.org/pdf/2610.21473",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9d18mh2bz3tp0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21473",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21473"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global Well-Posedness for the 3-D Inviscid Oldroyd-B Model with Fractional Stress Diffusion",
  "title_text": "Global Well-Posedness for the 3-D Inviscid Oldroyd-B Model with Fractional Stress Diffusion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/9d18mh2bz3tp0",
  "venue": "arXiv",
  "versions": []
}