Stability of the rarefaction wave for a two-fluid plasma model with diffusion

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• 作者：RenJun Duan ; ShuangQian Liu ; HaiYan Yin ; ChangJiang Zhu
• 关键词：two ; fluid plasma model ; rarefaction wave ; stability ; 35B35 ; 35B40 ; 35Q35 ; 82D10
• 刊名：SCIENCE CHINA Mathematics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：59
• 期：1
• 页码：67-84
• 全文大小：283 KB
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• 作者单位：RenJun Duan (1)
  ShuangQian Liu (2)
  HaiYan Yin (3)
  ChangJiang Zhu (4)
  
  1. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, 999077, China
  2. Department of Mathematics, Jinan University, Guangzhou, 510632, China
  3. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China
  4. School of Mathematics, South China University of Technology, Guangzhou, 510641, China
  
• 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 study the large-time asymptotics of solutions toward the weak rarefaction wave of the quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of velocity and temperature under small perturbations of initial data and also under an extra assumption $$\frac{{\theta _{i, + } }} {{\theta _{e, + } }} = \frac{{\theta _{i, - } }} {{\theta _{e, - } }} \geqslant \frac{{m_i }} {{2m_e }}, $$