Global Attractor for the Hasegawa-Mima Equation

ZHANG Rui-feng; GUO Bo-ling

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ZHANG Rui-feng, GUO Bo-ling. Global Attractor for the Hasegawa-Mima Equation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 505-511.

Citation:

ZHANG Rui-feng, GUO Bo-ling. Global Attractor for the Hasegawa-Mima Equation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 505-511.

Citation:

ZHANG Rui-feng, GUO Bo-ling. Global Attractor for the Hasegawa-Mima Equation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 505-511.

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Global Attractor for the Hasegawa-Mima Equation

ZHANG Rui-feng¹,
GUO Bo-ling²

1.
College of Mathematics and Information Science, Henan University, Kaifeng 475001, P. R. China;

Received Date: 2004-12-14
Rev Recd Date: 2006-01-03
Publish Date: 2006-05-15

Abstract

Abstract

The long time behavior of solution of the Hasegawa-Mima equation with dissipation term is 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 are estimated.
- Hasegawa-Mima equation,
- a priori estimate,
- global attractor,
- Hausdorff and fractal dimension

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References(13)

References

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