Global cauchy problem of 2D generalized MHD equations

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• 作者：Jishan Fan (1)
  Honaida Malaikah (2)
  Satha Monaquel (2)
  Gen Nakamura (3)
  Yong Zhou (2) (4)
  
• 关键词：MHD ; Fractional diffusion ; Smooth solution ; 35Q30 ; 76D03 ; 76D09
• 刊名：Monatshefte f篓鹿r Mathematik
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：175
• 期：1
• 页码：127-131
• 全文大小：113 KB
• 参考文献：1. Amann, H.: Maximal regularity for nonautonoumous evolution equations. Adv. Nonlinear Stud. 4, 417鈥?30 (2004)
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  9. Tran, C.V., Yu, X., Zhai, Z.: On global regularity of 2D generalized magnetohydrodynamic equations. J. Differ. Equ. 254(10), 4194鈥?216 (2013) CrossRef
  
• 作者单位：Jishan Fan (1)
  Honaida Malaikah (2)
  Satha Monaquel (2)
  Gen Nakamura (3)
  Yong Zhou (2) (4)
  
  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing聽, 210037, Pepole鈥檚 Republic of China
  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah聽, 21589, Saudi Arabia
  3. Department of Mathematics, Inha University, Incheon聽, 402-751, Republic of Korea
  4. School of Mathematics, Shanghai University of Finance and Economics, Shanghai聽, 200433, Pepole鈥檚 Republic of China
  
• ISSN：1436-5081

文摘

In this paper we prove the global-in-time existence of smooth solutions of the 2D generalized MHD system with fractional diffusion \((-\Delta )^\alpha u\) , \(0 .