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GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION

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Applied Mathematics and Mechanics(English Edition) 2006年第5期27卷 567-574页

作者：张瑞凤郭柏灵 College of Mathematics and Information Science Henan UniversityKaifeng 475001Henan ProvinceP. R. China Institute of Applied Physics and Computational Mathematics Beijing 100088P. R. China

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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Finite Dimension of Global Attractor of Nonlinear Strain Waves in Elastic Waveguides

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 173-176页

作者： Dacai MA and Murong JIANG(Department of Mathematics, Shangrao Teacher’s College, Shangrao 334000,China)(Department of Mathematics, Yunnan University, Kunming 650091, China)E-mail: jemail@*** Department of Mathematics Shangrao Teacher's College Shangrao 334000 China Department of Mathematics Yunnan University Kunming 650091 China

Consider herein are the finite dimension of global attractor of nonlinearstrain waves in elastic waveguides. By constructing two appropriate bounded coerciveguadratic forms and analysis of evolution of volume in E1 sp... 详细信息

关键词： strain wave attractor hausdorff and fractal dimensions

On the Burgers-Ginzburg-Landau Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 143-147页

作者： Boling GUO and Haiyang HUANG(Center of Nonlinear Studies. Institute of Applied Physics and ComputationalMathematics, Beijing, 100088. China)(Dept. of Math. Beijing Normal University. Beijing 100875. China)E-mail: hhywsg@*** Center of Nonlinear Studies Inst. Appl. Phys. and Compl. Math. Beijing 100088 China Dept. of Math. Beijing Normal University Beijing 100875 China

In this paper we consider the Burger-Ginzburg-Landau equations. and provethe existence of the global attractor in with finite hausdorff and fractaldimensions.

关键词： Burger-Ginzbur-Landau equations mild solution global attractor hausdorff and fractal dimensions

GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R

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Acta Mathematicae Applicatae Sinica 1998年第3期14卷 252-259页

作者：郭柏灵吴永辉 Institute of Applied Physics and Computational Mathematics Beijing China LASG Institute of Atmospheric Physics the chinese Academy of Sciences Beijing China

In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its hausdorff and fractal dimensions.

关键词： Global attractor hausdorff and fractal dimensions KdV equation weighted norm

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