{"title":"Asymptotic limit of non-isentropic compressible magnetohydrodynamic equations for rotating completely ionized gases","authors":"Ming Lu, Chenxi Su","doi":"10.1016/j.jmaa.2025.129391","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, we investigate a singular limit problem for the non-isentropic magnetohydrodynamic rotation equations in an infinite slab without magnetic diffusivity. We consider the case of completely ionized gases, where both the Rossby and Mach numbers approach zero simultaneously under ill-prepared initial conditions. The limiting system resembles the two-dimensional incompressible magnetohydrodynamic equations.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 1","pages":"Article 129391"},"PeriodicalIF":1.2000,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25001726","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/18 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this article, we investigate a singular limit problem for the non-isentropic magnetohydrodynamic rotation equations in an infinite slab without magnetic diffusivity. We consider the case of completely ionized gases, where both the Rossby and Mach numbers approach zero simultaneously under ill-prepared initial conditions. The limiting system resembles the two-dimensional incompressible magnetohydrodynamic equations.
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