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机构地区:[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
出 处:《Applied Mathematics and Mechanics(English Edition)》2006年第5期567-574,共8页应用数学和力学(英文版)
基 金:Project supported by the Natural Science Foundation of Henan Educational Committee of China(No.2003110005)
摘 要: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.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.
关 键 词:Hasegawa-Mima equation a priori estimate global attractor Hausdorff and fractal dimensions
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