{
  "abstract": "We prove the global existence of weak solutions of the one-dimensional Navier-Stokes-Korteweg (NSK) equations when the viscosity and the capillarity coefficients are power functions of the density, which may be zero on a set with positive measure. The proofs are based on a truncation argument combined with the Energy estimate and BD Entropy. Notably, we do not require any upper bound on the exponent of the power of the viscosity coefficient. In particular, we are able to consider very degenerate viscosity coefficient and to substantially improve previous results.",
  "abstract_shown": true,
  "affiliations": [
    "Gran Sasso Science Institute, Viale Francesco Crispi, 7, 67100, L'Aquila, Italy",
    "GSSI - Gran Sasso Science Institute (Viale F. Crispi 7, 67100 L'Aquila, Italy - Italy)",
    "Université Savoie Mont Blanc, UMR5127 CNRS, Laboratoire de Mathématiques, 73376, Le Bourget-du-Lac, France",
    "LAMA - Laboratoire de Mathématiques (Université Savoie Mont Blanc, Campus Scientifique, Bâtiment Le Chablais 73376 Le Bourget du Lac, France - France)",
    "DISIM – Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università degli Studi dell'Aquila, Via Vetoio, 67100, L'Aquila, Italy",
    "UNIVAQ - Università degli Studi dell'Aquila = University of L'Aquila = Université de L'Aquila (Via Giovanni Di Vincenzo 16/B, 67100 L'Aquila - Italy)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Paolo Antonelli",
      "orcid": "0000-0001-8211-8296"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Didier Bresch",
      "orcid": "0000-0002-2936-7856"
    },
    {
      "affs": [
        4,
        5
      ],
      "name": "Stefano Spirito",
      "orcid": "0000-0001-8373-4541"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5vas0q29rhm2p.bib",
  "cited_by": 10,
  "doi": "10.1016/j.matpur.2026.103952",
  "fulltext_url": null,
  "id": "5vas0q29rhm2p",
  "issns": [
    "0021-7824",
    "1776-3371"
  ],
  "landing_url": "https://doi.org/10.1016/j.matpur.2026.103952",
  "language": "en",
  "licence": "CC-BY-NC-ND",
  "licence_label": "CC BY-NC-ND",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W4414848635",
  "pdf_url": "https://www.sciencedirect.com/science/article/pii/S002178242600098X/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-18",
  "publisher": "Elsevier BV",
  "ris": "https://research.draconitic.com/paper/5vas0q29rhm2p.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W4414848635",
      "source": "openalex",
      "url": "https://doi.org/10.1016/j.matpur.2026.103952"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Navier-Stokes equation solutions",
      "subfield": "general"
    }
  ],
  "title": "Global weak solutions of the Navier-Stokes-Korteweg equations in one dimension",
  "title_text": "Global weak solutions of the Navier-Stokes-Korteweg equations in one dimension",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/5vas0q29rhm2p",
  "venue": "Journal de Mathématiques Pures et Appliquées",
  "versions": []
}