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Peer-reviewedCC BYArchive for rational mechanics and analysis

Classification of Atmospheric Traveling Waves at Cloud Level.

  • Adrian Constantin1
  • Zhiwu Lin2
  • Hao Zhu1,3
  1. 1Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.
  2. 2School of Mathematical Sciences, Fudan University, 200433 Shanghai, People's Republic of China.
  3. 3School of Mathematics, Nanjing University, 210093 Nanjing, Jiangsu, People's Republic of China.
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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.

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Cite

BibTeXRIS
BibTeX
@article{constantin2026classification,
  title = {{Classification of Atmospheric Traveling Waves at Cloud Level.}},
  author = {Adrian Constantin and Zhiwu Lin and Hao Zhu},
  journal = {Archive for rational mechanics and analysis},
  year = {2026},
  month = oct,
  doi = {10.1007/s00205-026-02253-w},
  url = {https://europepmc.org/article/MED/42898405},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Classification of Atmospheric Traveling Waves at Cloud Level.
AU  - Adrian Constantin
AU  - Zhiwu Lin
AU  - Hao Zhu
PY  - 2026
DA  - 2026/10/18
JO  - Archive for rational mechanics and analysis
DO  - 10.1007/s00205-026-02253-w
UR  - https://europepmc.org/article/MED/42898405
AB  - 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.
SN  - 0003-9527
SN  - 1432-0673
ER  -