Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system

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• 作者：Song Jiang (1)
  FuCai Li (2)
  
  1. Laboratory of Computational Physics ; Institute of Applied Physics and Computational Mathematics ; Beijing ; 100088 ; China
  2. Department of Mathematics ; Nanjing University ; Nanjing ; 210093 ; China
  
• 关键词：non ; isentropic compressible Euler ; Maxwell system ; non ; isentropic compressible magnetohydrodynamic equations ; zero dielectric constant limit ; 76W05 ; 35Q60 ; 35B25
• 刊名：SCIENCE CHINA Mathematics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：58
• 期：1
• 页码：61-76
• 全文大小：257 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Chinese Library of Science
  Applications of Mathematics
  
• 出版者：Science China Press, co-published with Springer
• ISSN：1869-1862

文摘

We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system. We justify this singular limit rigorously in the framework of smooth solutions and obtain the nonisentropic compressible magnetohydrodynamic equations as the dielectric constant tends to zero.