THREE-SCALE SINGULAR LIMITS OF THE MHD ROTATING SHALLOW WATER SYSTEM  

作　　者：Yue FANG Jiawei WANG Xin XU 方悦;王佳玮;徐鑫

机构地区：[1]School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China [2]Graduate School of China Academy of Engineering Physics,Beijing 100193,China

出　　处：《Acta Mathematica Scientia》2025年第2期695-714,共20页数学物理学报(B辑英文版)

基　　金：supported by Natural Science Foundation of China(12001506);the Natural Science Foundation of Shandong Province(ZR2020QA014).

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.

关 键 词：three-scale singular limits Rossby and Froude numbers ill-prepared data 

分 类 号：O175.2[理学—数学]