{
  "abstract": "For a class of two-dimensional Euler--Poisson--Korteweg systems of quantum hydrodynamic type, we establish global existence and scattering for small, smooth, spatially localized perturbations of a constant equilibrium with irrotational velocity. This extends the three-dimensional well-posedness result of Song [Math. Ann. 392 (2025), 2157--2224] to two dimensions. Our proof follows the space-time resonance approach developed by Deng, Ionescu, Pausader, and Pusateri for the three-dimensional gravity-capillary water-wave system. The new ingredients are twofold. First, to allow non-neutral initial data, we exploit the absence of space resonances and of time resonances---including those arising after the second and third iterations---and the improved approximate-finite-speed-of-propagation bounds. Second, in the energy estimates, we adapt the almost orthogonality argument used in the works of Ionescu--Pausader and Guo--Ionescu--Pausader to the regime in which the input and output frequencies are all comparable to $1$. In this regime, time resonances may occur and the relevant curvature quantity may vanish.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37220",
  "author_total": 2,
  "authors": [
    {
      "name": "Han Cui"
    },
    {
      "name": "Linhao Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ehxcwpj2awwk5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37220",
  "fulltext_url": null,
  "id": "ehxcwpj2awwk5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37220",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7224097504",
  "pdf_url": "https://arxiv.org/pdf/2610.37220",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ehxcwpj2awwk5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37220",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37220"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global Existence and Scattering of a Class of Two-Dimensional Euler--Poisson--Korteweg Systems",
  "title_text": "Global Existence and Scattering of a Class of Two-Dimensional Euler--Poisson--Korteweg Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/ehxcwpj2awwk5",
  "venue": "arXiv",
  "versions": []
}