{
  "abstract": "This manuscript studies a coupled system of nonlinear parabolic and hyperbolic equations that models thermoviscoelastic materials with explicit internal stress relaxation, $$\\begin{cases} τu_{ttt} + u_{tt} = (D(Θ)u_{xt})_x + (C(Θ)u_x)_x, \\\\ Θ_t = Θ_{xx} + |E(Θ)u_{xt} + F(Θ)g_t|^2, \\\\ τg_t + g = D(Θ)u_{xt} + C(Θ)u_x. \\end{cases}$$ The system arises from a stress-strain constitutive relation of Zener type, where the internal variable $g$ encodes mechanical memory effects. A key feature is the explicit coupling of stress relaxation to the heat equation through the dissipation term, which differs from standard approaches that eliminate $g$ via algebraic substitution. Under the assumptions that $τ>0$ and that $D,C\\in C^2([0,\\infty))$ are positive and $E,F\\in C^1([0,\\infty))$, and for suitably regular initial data, we establish local existence and uniqueness of strong solutions. Under additionally strengthened regularity requirements on the initial data and on $D,C$, this solution is moreover shown to be classical. These results extend a corresponding local strong and classical solvability theory developed for the underlying system without the stress variable $g$ to the present, stress-augmented setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31134",
  "author_total": 1,
  "authors": [
    {
      "name": "Torben Fricke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/exnm5pvps0z08.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31134",
  "fulltext_url": null,
  "id": "exnm5pvps0z08",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31134",
  "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",
      "2211|Thermoelastic and Magnetoelastic Phenomena"
    ]
  ],
  "openalex": "W7223338574",
  "pdf_url": "https://arxiv.org/pdf/2610.31134",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/exnm5pvps0z08.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31134",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31134"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Well-posedness of a stress-augmented Moore-Gibson-Thompson-type model for thermoviscoelastic evolution in a standard linear solid",
  "title_text": "Well-posedness of a stress-augmented Moore-Gibson-Thompson-type model for thermoviscoelastic evolution in a standard linear solid",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/exnm5pvps0z08",
  "venue": "arXiv",
  "versions": []
}