{
  "abstract": "This paper investigates the wave propagation for a non-conservative compressible two-fluid model with unequal pressures in R3. This model is novel and fundamentally distinct from the classical single-phase compressible Navier-Stokes equations proposed by Liu-Wang [28]. This work fills a significant gap, as prior results largely apply only to conservative or partially conservative systems with specific Green's function cancellations. The non-conservative nature and the coexistence of two distinct-speed Huygens waves demand dedicated nonlinear coupling analysis and add further complexity. Our study reveals fundamentally different physical behaviors of this non-conservative two-phase model under equal and unequal interfacial pressures. For equal pressure, the model admits a stationary diffusion wave comprising a single Huygens wave, analogous to classical Navier-Stokes equations. In sharp contrast, under unequal pressure, the stationary diffusion wave consists of two Huygens waves propagating at different speeds--a novel phenomenon absent in the classical Navier-Stokes context.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23095",
  "author_total": 2,
  "authors": [
    {
      "name": "Zhigang Wu"
    },
    {
      "name": "Yinghui Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9qsps96q5vcpm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23095",
  "fulltext_url": null,
  "id": "9qsps96q5vcpm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23095",
  "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": "W7214039021",
  "pdf_url": "https://arxiv.org/pdf/2609.23095",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9qsps96q5vcpm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23095",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23095"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Wave propagation of a non-conservative compressible two-fluid model with different pressures",
  "title_text": "Wave propagation of a non-conservative compressible two-fluid model with different pressures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/9qsps96q5vcpm",
  "venue": "arXiv",
  "versions": []
}