{
  "abstract": "We study the warm-ion Euler--Poisson system with Maxwell--Boltzmann electrons on the cylinder $\\R\\times\\T$ in the quasineutral regime. Taking a smooth expanding planar simple wave of the effective Euler system as the reference state, we construct an even Debye expansion through arbitrary finite order $M$ with a residual of $O(\\eps^{2M+2})$. We rigorously establish nonlinear stability on every fixed interval $[t_0,T]$ ($t_0\\ge0$), achieving a lifespan and energy constants strictly independent of the Debye length $0<\\eps\\le\\eps_0$. To overcome the singular scaling of the electric field, we develop a novel compensated energy topology that couples the warm-ion symmetrizer to the time-differentiated nonlinear Poisson constraint. By integrating the top-order electric work directly into the time derivative of a weighted energy functional, this mechanism controls the potential in $H^s$ and its gradient in $\\eps H^s$, completely eliminating the $\\eps^{-1}$ loss typically encountered in the momentum equation. This framework successfully governs distinct neutral end states, captures genuinely two-dimensional rotational perturbations, and yields an arbitrary-order quasineutral asymptotic expansion for prepared data, providing a critical analytical foundation for the geometric theory of multidimensional quasineutral rarefactions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01589",
  "author_total": 2,
  "authors": [
    {
      "name": "Louis Shuo Wang"
    },
    {
      "name": "Jiguang Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bs324acmr46x6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01589",
  "fulltext_url": null,
  "id": "bs324acmr46x6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01589",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7206195596",
  "pdf_url": "https://arxiv.org/pdf/2609.01589",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bs324acmr46x6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.01589",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01589"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Smooth expanding planar simple waves for Euler--Poisson--Boltzmann: uniform stability and quasineutral expansion",
  "title_text": "Smooth expanding planar simple waves for Euler--Poisson--Boltzmann: uniform stability and quasineutral expansion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/bs324acmr46x6",
  "venue": "arXiv",
  "versions": []
}