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Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (5): 567-574 .doi: https://doi.org/10.1007/s10483-006-0501-1

• 论文 •    下一篇

GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION

张瑞凤, 郭柏灵   

  • 收稿日期:2004-12-14 修回日期:2006-01-03 出版日期:2006-05-18 发布日期:2006-05-18
  • 通讯作者: 张瑞凤

GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION

ZHANG Rui-feng, GUO Bo-ling   

    1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan Province, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • Received:2004-12-14 Revised:2006-01-03 Online:2006-05-18 Published:2006-05-18
  • Contact: ZHANG Rui-feng

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Abstract: The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. Applying the uniform a priori estimates method, the existence of global attractor of this problem was proved, and also the dimensions of the global attractor was estimated.

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