{
  "abstract": "We analyze an inverse problem for determining the piston speed and the associated flow field from a prescribed leading shock and the initial data in a shock tube. The gas flow is described by the isentropic Euler equations (i.e., the $p$-system), while the trajectory of the leading shock is prescribed as a given Lipschitz curve. Under an Oleĭnik-type entropy condition on the leading shock, we develop a modified wavefront tracking scheme to construct the flow field behind the shock. This construction enables us to determine the corresponding piston speed and the associated flow field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06317",
  "author_total": 4,
  "authors": [
    {
      "name": "Gui-Qiang G. Chen"
    },
    {
      "name": "Qianfeng Li"
    },
    {
      "name": "Yun Pu"
    },
    {
      "name": "Yongqian Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d28bewb5wfm0g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06317",
  "fulltext_url": null,
  "id": "d28bewb5wfm0g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06317",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.NA"
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    [
      "arxiv",
      "nlin.PS"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
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  "openalex": "W7212079314",
  "pdf_url": "https://arxiv.org/pdf/2609.06317",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d28bewb5wfm0g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06317",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06317"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.PS",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock",
  "title_text": "An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/d28bewb5wfm0g",
  "venue": "arXiv",
  "versions": []
}