{
  "abstract": "We study the Cauchy problem for the one-dimensional full compressible Navier--Stokes equations with viscosity $μ(θ)=\\tildeμθ^α$ and heat conductivity $κ(θ)=\\tildeκθ^β$. For each fixed $β\\ge0$, we prove the global stability of the combination of a viscous contact wave with rarefaction waves, provided that the viscosity exponent $α$ and the total wave strength are sufficiently small. The initial perturbation may be large in $H^1$, and the specific volume and temperature are assumed to have positive initial lower bounds. The solution remains uniformly bounded in $H^1$ relative to the wave, and converges uniformly to that wave as time tends to infinity. We show that both the specific volume and the temperature admit time-uniform lower and upper bound. Estimates for the logarithmic volume derivative and the temperature gradient then close the $H^1$ estimates without requiring a second derivative of the initial specific volume.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24700",
  "author_total": 2,
  "authors": [
    {
      "name": "Hongyu Wang"
    },
    {
      "name": "Rong Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5p19mwbrvbcnm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24700",
  "fulltext_url": null,
  "id": "5p19mwbrvbcnm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24700",
  "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",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7214052950",
  "pdf_url": "https://arxiv.org/pdf/2609.24700",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5p19mwbrvbcnm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24700",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24700"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system with temperature-dependent transport coefficients and large data",
  "title_text": "Global stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system with temperature-dependent transport coefficients and large data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/5p19mwbrvbcnm",
  "venue": "arXiv",
  "versions": []
}