{
  "abstract": "In this paper we show that bounded entropy solutions of genuinely nonlinear $2\\times 2$ systems of hyperbolic conservation laws admit a strong trace on Lipschitz curves. The main argument relies on a new half-space Liouville-type theorem for isentropic solutions with constant normal traces, providing the first extension to general genuinely nonlinear systems of the strong trace properties available for scalar conservation laws.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.23497",
  "author_total": 1,
  "authors": [
    {
      "name": "Luca Talamini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5rf02psptt7s1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.23497",
  "fulltext_url": null,
  "id": "5rf02psptt7s1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.23497",
  "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",
      "math.AP"
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    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7165658918",
  "pdf_url": "https://arxiv.org/pdf/2606.23497",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5rf02psptt7s1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2606.23497",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.23497"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Strong traces for solutions of $2\\times 2$ nonlinear hyperbolic systems",
  "title_text": "Strong traces for solutions of 2× 2 nonlinear hyperbolic systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/5rf02psptt7s1",
  "venue": "arXiv",
  "versions": []
}