{
  "abstract": "We prove the existence of weak solutions and their continuous dependence on the data for a three-dimensional incompressible Navier-Stokes system subject to multivalued friction boundary conditions, within a Hilbert space framework. Under suitable assumptions, a fixed point argument yields the existence of a solution to the associated perturbed stationary problem. Using nonlinear semigroup theory, we then establish the existence of a mild solution to the non-stationary problem and prove a contraction principle. Finally, by combining the Crandall-Liggett implicit discretization scheme with a priori estimates for the approximating mild solutions, we obtain weak solutions that depend continuously on the initial data.",
  "abstract_shown": true,
  "affiliations": [
    "Laboratoire de Mathématiques, Informatique et Applications (L@MIA), Université Norbert ZONGO",
    "Département de Mathématiques et Informatique, Unité de Formation et de Recherche en Sciences et Technologies, Université Lédéa Bernard Ouédraogo, Burkina Faso"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Simon ZONGO"
    },
    {
      "affs": [
        1
      ],
      "name": "Bila Adolphe Kyelem",
      "orcid": "0000-0001-5138-0742"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2wtebwqpj70sg.bib",
  "cited_by": 5,
  "doi": "10.56947/amcs.v35.873",
  "fulltext_url": null,
  "id": "2wtebwqpj70sg",
  "issns": [
    "2789-7206"
  ],
  "landing_url": "https://doi.org/10.56947/amcs.v35.873",
  "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"
    ]
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  "openalex": "W7169885983",
  "pdf_url": "https://annalsmcs.org/index.php/amcs/article/download/873/262",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2wtebwqpj70sg.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:00Z",
      "native_id": "W7169885983",
      "source": "openalex",
      "url": "https://doi.org/10.56947/amcs.v35.873"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Navier-Stokes equation solutions",
      "subfield": "general"
    }
  ],
  "title": "3D Navier-Stokes Equation with Multivalued Friction",
  "title_text": "3D Navier-Stokes Equation with Multivalued Friction",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T13:20:41Z",
  "url": "https://research.draconitic.com/paper/2wtebwqpj70sg",
  "venue": "Annals of Mathematics and Computer Science",
  "versions": []
}