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The global attractors for the dissipative generalized Hasegawa-Mima equation

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Abstract

The long time behavior of solutions of the generalized Hasegawa-Mima equation with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimate of the upper bound of the Hausdorff and fractal dimensions for the global attractors is obtained by means of uniform a priori estimates method.

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Authors and Affiliations

  1. Institute of Applied Mathematics Henan University, College of Mathematics and Information Science Henan University, Kaifeng, 475001, China

    Rui-feng Zhang

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  1. Rui-feng Zhang
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Correspondence to Rui-feng Zhang.

Additional information

Supported by the Natural Science Foundation of Henan Education Department (No.2007110004); Supported by the Natural Science Foundation of Henan University (No.06YBZR027).

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Zhang, Rf. The global attractors for the dissipative generalized Hasegawa-Mima equation. Acta Math. Appl. Sin. Engl. Ser. 24, 19–28 (2008). https://doi.org/10.1007/s10255-004-4131-9

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  • DOI: https://doi.org/10.1007/s10255-004-4131-9

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