{
  "abstract": "We study the long-time behaviour of multi-dimensional first-order symmetrizable quasilinear hyperbolic systems with nonlinear feedback boundary conditions. Assuming strict interior and boundary Lyapunov inequalities for the linearized system and non-characteristic boundaries, we prove global existence for small initial data and exponential H^s decay, with s>d/2+1 an integer. We consider both bounded smooth domains and flat periodic cylinders, and illustrate the results with physical examples and numerical simulations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13577",
  "author_total": 1,
  "authors": [
    {
      "name": "Haitian Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fkd4r895rnp1d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13577",
  "fulltext_url": null,
  "id": "fkd4r895rnp1d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13577",
  "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"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7221508138",
  "pdf_url": "https://arxiv.org/pdf/2610.13577",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fkd4r895rnp1d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13577",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13577"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Boundary stabilization of multi-dimensional first-order quasilinear hyperbolic systems",
  "title_text": "Boundary stabilization of multi-dimensional first-order quasilinear hyperbolic systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/fkd4r895rnp1d",
  "venue": "arXiv",
  "versions": []
}