{
  "abstract": "In this paper, we reconstruct a wedge and its post-shock flow from a prescribed leading shock and a uniform supersonic incoming state. Full Euler Rankine--Hugoniot relations supply the shock data, while a reduced interior model combines homogeneous acoustic characteristic equations, entropy transport, and the Bernoulli relation. A hodograph transformation yields a linear hyperbolic equation for the physical coordinate. Comparing a shock-to-wedge mass bound with a hodograph non-degeneracy threshold gives a sufficient, data-dependent reconstruction criterion. Under the stated assumptions, this criterion ensures a unique \\(C^1\\) post-shock flow and a \\(C^2\\) wedge throughout the characteristic domain determined by the prescribed shock segment. Numerical reconstructions examine empirical grid convergence, Mach-number dependence, and discrepancies between the reduced-model and full-Euler inverse reconstructions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30002",
  "author_total": 2,
  "authors": [
    {
      "name": "Qianfeng Li"
    },
    {
      "name": "Meizhi Qian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/51w374rtf18qj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30002",
  "fulltext_url": null,
  "id": "51w374rtf18qj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30002",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7214309573",
  "pdf_url": "https://arxiv.org/pdf/2609.30002",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/51w374rtf18qj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.30002",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30002"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Reconstruction of a Wedge and Post-Shock Flow from a Prescribed Leading Shock",
  "title_text": "Reconstruction of a Wedge and Post-Shock Flow from a Prescribed Leading Shock",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/51w374rtf18qj",
  "venue": "arXiv",
  "versions": []
}