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Nonsingular Surface-Quasi-Geostrophic Flow

Numerical Analysis 2025-10-20 v1 Numerical Analysis Analysis of PDEs Atmospheric and Oceanic Physics

Abstract

The dynamics of large eddies in the atmosphere and oceans is described by the surface quasi geostrophic equation, which is reminiscent of the Euler equations. Thermal fronts build up rapidly. Two different numerical methods combined with analytical criteria are used to show there are no singularities in finite time.

Keywords

Cite

@article{arxiv.math/9805027,
  title  = {Nonsingular Surface-Quasi-Geostrophic Flow},
  author = {Peter Constantin and Qing Nie and Norbert Schorghofer},
  journal= {arXiv preprint arXiv:math/9805027},
  year   = {2025}
}

Comments

4 pages, 5 figures to be published in Physics Letters A