{
  "abstract": "This paper studies the common-velocity idealized three-component compressible model with pressure law P = ργ (0 < γ ≤ 1) and the constant-pressure model with P = 1. We systematically analyze the piston problem for these two models. When the piston velocity is lower than the initial fluid velocity, fluid blockage or severe blockage occurs, corresponding to a shock or delta shock wave solution. When the piston velocity exceeds the initial fluid velocity, the flow expands, corresponding to a rarefaction wave or vacuum solution. Furthermore, we prove that, as γ → 0+, the conservative variables (l,m,q,ρu) of the solutions to the piston problem for the compressible model converge in the sense of distributions to those for the constant-pressure model, and we present numerical simulations for finite values of γ.",
  "abstract_shown": true,
  "affiliations": [
    "College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China",
    "School of Mathematics and Systems Sciences, Liaocheng University, Liaocheng 252059, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Xiaoting Li"
    },
    {
      "affs": [
        0
      ],
      "name": "Lihui Guo",
      "orcid": "0000-0001-8400-6781"
    },
    {
      "affs": [
        1
      ],
      "name": "Huasheng Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ffpdj0t8fnb6.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100726",
  "fulltext_url": "https://www.mdpi.com/2075-1680/15/10/726",
  "id": "0ffpdj0t8fnb6",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/726",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7214988607",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/0ffpdj0t8fnb6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100726",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/726"
    },
    {
      "first_seen": "2026-10-31T14:21:21Z",
      "native_id": "014e99d3ef5446dcac986c30d02a1116",
      "source": "doaj",
      "url": "https://doi.org/10.3390/axioms15100726"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "Piston Problem in Common-Velocity Idealized Three-Component Models",
  "title_text": "Piston Problem in Common-Velocity Idealized Three-Component Models",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T14:21:21Z",
  "url": "https://research.draconitic.com/paper/0ffpdj0t8fnb6",
  "venue": "Axioms",
  "versions": []
}