数学物理学报(英文版)

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MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS

酒全森; 牛冬娟   

  1. 首都师范大学数学学院, 北京 100037
  • 收稿日期:2004-12-30 修回日期:2005-05-08 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 酒全森
  • 基金资助:

    The research is partially supported by NSF of China (10431060), NSF of Beijing (1042003), and key project of NSFB-FBEC

MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS

Jiu Quansen; Niu Dongjuan   

  1. School of Mathematical Sciences, Capital Normal University, Beijing 100037, China
  • Received:2004-12-30 Revised:2005-05-08 Online:2006-10-20 Published:2006-10-20
  • Contact: Jiu Quansen

摘要:

The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence, are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields.

关键词: MHD equations, classical solution, convergence rate, blow-up criterion

Abstract:

The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence, are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields.

Key words: MHD equations, classical solution, convergence rate, blow-up criterion

中图分类号: 

  • 35Q35