GLOBAL_ATTRACTORS

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  • 期刊=Acta Mathematicae Applicatae Sinicax
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Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory
《Acta Mathematicae Applicatae Sinica》2025年第2期498-512,共15页Yu-ming QIN Xiao-ling CHEN 
supported by the National Natural Science Foundation of China(No.12171082);the Fundamental Research Funds for the Central Universities(No.2232023G-13).
In this paper,we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term f satisfies critical exponential growth and the external force g(x)∈L^(2)...
关键词：time-dependent global attractors nonclassical diffusion equation fading memory time-dependent spaces long-time behavior 
The Global Attractors for the Dissipative Generalized Hasegawa-Mima Equation被引量：1
《Acta Mathematicae Applicatae Sinica》2008年第1期19-28,共10页Rui-feng Zhang 
Supported by the Natural Science Foundation of Henan Education Department (No.2007110004) ; Supported by the Natural Science Foundation of Henan University (No.06YBZR027).
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 o...
关键词：Hasegawa-Mima equation global attractors hausdorff dimension fractal dimension 
Well-posedness and Global Attractors for the Burgers-Ginzburg-Landau Equations
《Acta Mathematicae Applicatae Sinica》2002年第4期579-588,共10页Bo-ling Guo, Hai-yang HuangCenter of Nonlinear Studies, Institute of Applied Physics and Computational Mathematics. P.O. Box 8009. Beijing 100088, ChinaDepartment of Mathematics. Beijing Normal University, Beijing 100875, China 
the Scientific Research Foundation for Returned Overseas Chinese Scholars. State Education Commission.
In this paper we consider the Burger-Ginzburg-Landau equations, and prove the existence of the global attractor in with finite Hausdorff and fractal dimensions.
关键词：Burger-Ginzbur-Landau equations Mild solution Hausdorff and fractal dimensions. Global attractor 
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