Vanishing dielectric constant regime for the Navier Stokes Maxwell equations

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• 作者：Donatella Donatelli ; Stefano Spirito
• 刊名：NoDEA : Nonlinear Differential Equations and Applications
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：23
• 期：3
• 全文大小：585 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-9004
• 卷排序：23

文摘

In this paper we rigorously justify the convergence of smooth solutions of the Navier-Stokes-Maxwell equations towards smooth solutions of the classical 2D parabolic MHD equations in the case of vanishing dielectric constant. The result is achieved by means of higher-order energy estimates.Mathematics Subject ClassificationPrimary: 35Q35Secondary: 35B2535Q3035Q61