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<p>A mathematically rigorous framework for singular limits of the magnetohydrodynamic rotating shallow water equations with ill-prepared data is developed when the Rossby and Froude numbers tend to zero at different rates. The reduced systems are derived, respectively, for the stratification-dominant and the rotation-dominant cases by means of the developed three-scale fast averaging method.</p>

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Three-scale singular limits of the MHD rotating shallow water system

  • 期刊论文

  • 发表日期：

    2025年2月6日

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  • Yue Fang,
  • Jiawei Wang,
  • Xin Xu

摘要

A mathematically rigorous framework for singular limits of the magnetohydrodynamic rotating shallow water equations with ill-prepared data is developed when the Rossby and Froude numbers tend to zero at different rates. The reduced systems are derived, respectively, for the stratification-dominant and the rotation-dominant cases by means of the developed three-scale fast averaging method.