{"title":"Optimal convergence rate of the vanishing shear viscosity limit for one-dimensional isentropic planar MHD equations","authors":"Cailong Gao, Xia Ye","doi":"10.1016/j.jmaa.2025.129591","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we consider the initial-boundary value problem for the one-dimensional isentropic planar magnetohydrodynamics (MHD) equations. Using asymptotic expansions, we study the expression of the boundary layer and the rate of convergence of the vanishing shear viscosity limit, which optimizes the convergence rate <span><math><msup><mrow><mi>ε</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>4</mn></mrow></msup></math></span> of the results presented in reference Ye and Zhang <span><span>[35]</span></span> (2016) to <span><math><msup><mrow><mi>ε</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"551 1","pages":"Article 129591"},"PeriodicalIF":1.2000,"publicationDate":"2025-04-16","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/S0022247X25003725","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider the initial-boundary value problem for the one-dimensional isentropic planar magnetohydrodynamics (MHD) equations. Using asymptotic expansions, we study the expression of the boundary layer and the rate of convergence of the vanishing shear viscosity limit, which optimizes the convergence rate of the results presented in reference Ye and Zhang [35] (2016) to .
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