{
  "abstract": "We classify within the quasi-geostrophic framework all types of traveling waves in zonal bands of the planetary atmosphere at cloud level according to their wave speeds. This classification pertains to waves of all amplitudes, going beyond the small-amplitude perturbative regime; it provides a structurally robust criterion for determining which traveling-wave profiles are dynamically possible. We also show that each wave classification type was observed on Jupiter or Saturn. Building on this classification, we investigate the related rigidity issue for large-amplitude traveling waves and waves propagating near shear flows. Our study offers a unified quantitative characterization of the intrinsic constraints for traveling waves in the quasi-geostrophic regime of planetary atmospheric flow.",
  "abstract_shown": true,
  "affiliations": [
    "Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.",
    "School of Mathematical Sciences, Fudan University, 200433 Shanghai, People's Republic of China.",
    "School of Mathematics, Nanjing University, 210093 Nanjing, Jiangsu, People's Republic of China."
  ],
  "article_type": "research article",
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Adrian Constantin"
    },
    {
      "affs": [
        1
      ],
      "name": "Zhiwu Lin"
    },
    {
      "affs": [
        0,
        2
      ],
      "name": "Hao Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9xyp7b7v07p3v.bib",
  "cited_by": 0,
  "doi": "10.1007/s00205-026-02253-w",
  "fulltext_url": "https://europepmc.org/articles/PMC13677645",
  "id": "9xyp7b7v07p3v",
  "issns": [
    "0003-9527",
    "1432-0673"
  ],
  "landing_url": "https://europepmc.org/article/MED/42898405",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "1902|Meteorological Phenomena and Simulations"
    ]
  ],
  "openalex": "W7116940167",
  "pdf_url": "https://europepmc.org/articles/PMC13677645?pdf=render",
  "pmcid": "PMC13677645",
  "pmid": "42898405",
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9xyp7b7v07p3v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:33Z",
      "native_id": "MED:42898405",
      "source": "europepmc",
      "url": "https://europepmc.org/article/MED/42898405"
    }
  ],
  "subjects": [
    {
      "field": "earth",
      "origin": "openalex:1902|Meteorological Phenomena and Simulations",
      "subfield": "atmospheric"
    }
  ],
  "title": "Classification of Atmospheric Traveling Waves at Cloud Level.",
  "title_text": "Classification of Atmospheric Traveling Waves at Cloud Level.",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:19:33Z",
  "url": "https://research.draconitic.com/paper/9xyp7b7v07p3v",
  "venue": "Archive for rational mechanics and analysis",
  "versions": []
}