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 rate...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.展开更多
基金supported by Natural Science Foundation of China(12001506)the Natural Science Foundation of Shandong Province(ZR2020QA014).
文摘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.
