{
  "abstract": "We study a system of several one-dimensional scalar conservation laws coupled through boundary feedback conditions that combine physical boundary constraints with static feedback control laws. Our first contribution establishes the well-posedness of the system in the space of $L^{\\infty}$ entropy solutions. Our second contribution provides a set of sufficient dissipative conditions on the boundary coupling that ensure global exponential stability in $L^{1}$ and $L^{\\infty}$ norms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Georges Bastin"
    },
    {
      "name": "Jean-Michel Coron"
    },
    {
      "name": "Amaury Hayat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1bea8mfs1xhc3.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "1bea8mfs1xhc3",
  "issns": [],
  "landing_url": "https://hal.science/hal-05581913v2",
  "language": "en",
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05581913/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1bea8mfs1xhc3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:42Z",
      "native_id": "hal-05581913",
      "source": "hal",
      "url": "https://hal.science/hal-05581913v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Global boundary stabilization of 1d systems of scalar conservation laws",
  "title_text": "Global boundary stabilization of 1d systems of scalar conservation laws",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:42Z",
  "url": "https://research.draconitic.com/paper/1bea8mfs1xhc3",
  "venue": "HAL",
  "versions": []
}