{
  "abstract": "The one-dimensional compressible Navier--Stokes--Fourier--Poisson system under the Boltzmann relation is studied for the existence of small-amplitude viscous shock profiles connecting the Rankine--Hugoniot states of the quasineutral Euler system with effective pressure $P_{\\mathrm{eff}}=ρ(θ+1)$. This profile is unique up to translation, of Lax type, and orbitally stable in time without a zero-mass assumption on the perturbation. The proof is based on a center-manifold reduction of the traveling-wave ODE and on the method of $a$-contraction with shifts, together with a relative-entropy functional augmented by electric energy and a sharp estimate of the viscous flux associated with $P_{\\mathrm{eff}}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36567",
  "author_total": 2,
  "authors": [
    {
      "name": "Renjun Duan"
    },
    {
      "name": "Rui Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ck19y54x609g8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36567",
  "fulltext_url": null,
  "id": "ck19y54x609g8",
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  "landing_url": "https://arxiv.org/abs/2609.36567",
  "language": null,
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  "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": "W7214994261",
  "pdf_url": "https://arxiv.org/pdf/2609.36567",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ck19y54x609g8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.36567",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36567"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Shock profiles for the Navier--Stokes--Fourier--Poisson system under the Boltzmann relation",
  "title_text": "Shock profiles for the Navier--Stokes--Fourier--Poisson system under the Boltzmann relation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/ck19y54x609g8",
  "venue": "arXiv",
  "versions": []
}